###### Asked in Math and Arithmetic

Math and Arithmetic

# What is Sin squared x - Cos squared x divided by 1 - Tan squared x equals cos squared x?

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## Answer

## Related Questions

###### Asked in Math and Arithmetic, Algebra, Geometry

### Factor sin cubed plus cos cubed?

sin cubed + cos cubed
(sin + cos)( sin squared - sin.cos + cos squared)
(sin + cos)(1 + sin.cos)
...

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###### Asked in Math and Arithmetic, Calculus, Trigonometry

### Verify that sin minus cos plus 1 divided by sin plus cos subtract 1 equals sin plus 1 divided by cos?

[sin - cos + 1]/[sin + cos - 1] = [sin + 1]/cosiff [sin - cos +
1]*cos = [sin + 1]*[sin + cos - 1]
iff sin*cos - cos^2 + cos = sin^2 + sin*cos - sin + sin + cos -
1
iff -cos^2 = sin^2 - 1
1 = sin^2 + cos^2, which is true,
...

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###### Asked in Math and Arithmetic, Algebra, Calculus

### What does cos squared x - Sin squared x equal?

2 x cosine squared x -1 which also equals cos (2x)

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###### Asked in Math and Arithmetic, Algebra, Calculus

### If Sin equals x and Cos equals y then x squared equals what function of y?

If x = sin Î¸ and y = cos Î¸ then:
sinÂ² Î¸ + cosÂ² Î¸ = 1
â†’ xÂ² + yÂ² = 1
â†’ xÂ² = 1 - yÂ²
...

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###### Asked in Algebra

### What is sin squared x minus cos squared x?

Sin squared, cos squared...you removed the x in the
equation.

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###### Asked in Math and Arithmetic

### How do you prove that the sin over one minus the cosine minus one plus the cosine over the sine equals zero?

Multiply both sides by sin(1-cos) and you lose the denominators
and get (sin squared) minus 1+cos times 1-cos.
Then multiply out (i.e. expand) 1+cos times 1-cos, which will of
course give the difference of two squares: 1 - (cos squared).
(because the cross terms cancel out.)
(This is diff of 2 squares because 1 is the square of 1.)
And so you get (sin squared) - (1 - (cos squared)) = (sin
squared) + (cos squared) - 1.
Then from basic trig we...

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###### Asked in Math and Arithmetic, Trigonometry

### If a cos theta plus b sin theta equals 8 and a sin theta - b cos theta equals 5 show that a squared plus b squared equals 89?

There is a hint to how to solve this in what is required to be
shown: a and b are both squared.
If
a cos Î¸ + b sin Î¸ = 8
a sin Î¸ - b cos Î¸ = 5
then square both sides of each to get:
aÂ² cosÂ² Î¸ + 2ab cos Î¸ sin Î¸ + bÂ² sinÂ² Î¸ = 64
aÂ² sinÂ² Î¸ - 2ab sin Î¸ cos Î¸ + bÂ² cosÂ² Î¸ = 25
Now add the two...

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###### Asked in Calculus, Trigonometry

### What is sin squared equal to?

Sin squared is equal to 1 - cos squared.

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###### Asked in Math and Arithmetic, Algebra, Calculus, Trigonometry

### What equals 1 - cos squared x divided by cos squared x?

tan^2(x)
Proof:
cos^2(x)+sin^2(x)=1 (Modified Pythagorean theorem)
sin^2(x)=1-cos^2(x) (Property of subtraction)
cos^2(x)-1/cos^2(x)=?
sin^2(x)/cos^2(x)=? (Property of substitution)
sin(x)/cos(x) * sin(x)/cos(x) = tan(x) * tan(x) (Definition of
tanget)
= tan^2(x)
...

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###### Asked in Math and Arithmetic, Algebra, Calculus

### How do you show that 2 sin squared x minus 1 divided by sin x minus cos x equals sin x plus cos x?

(2 sin^2 x - 1)/(sin x - cos x) = sin x + cos x
(sin^2 x + sin^2 x - 1)/(sin x - cos x) =? sin x + cos x
[sin^2 x - (1 - sin^2 x)]/(sin x - cos x) =? sin x + cos x
(sin^2 x - cos^2 x)/(sin x - cos x) =? sin x + cos x
[(sin x - cos x)(sin x + cos x)]/(sin x - cos x) =? sin...

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###### Asked in Math and Arithmetic, Algebra, Calculus

### Is 1- cos 2 x 1 plus cos 2 x equals sin squared x cos squared x an identity?

No, (sinx)^2 + (cosx)^2=1 is though

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###### Asked in Trigonometry

### How do you prove this trigonometric relationship sin3A equals 3sinA cos 2 A - sin 3 A?

sin(3A) = sin(2A + A) = sin(2A)*cos(A) + cos(2A)*sin(A)=
sin(A+A)*cos(A) + cos(A+A)*sin(A)
= 2*sin(A)*cos(A)*cos(A) + {cos^2(A) - sin^2(A)}*sin(A)
= 2*sin(A)*cos^2(A) + sin(a)*cos^2(A) - sin^3(A)
= 3*sin(A)*cos^2(A) - sin^3(A)
...

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###### Asked in Trigonometry

### If cos and theta 0.65 what is the value of sin and theta?

It is +/- 0.76

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###### Asked in Math and Arithmetic, Algebra, Calculus

### When does cos x equal -sin x?

The derivative of cos(x) equals -sin(x); therefore, the
anti-derivative of -sin(x) equals cos(x).
...

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###### Asked in Calculus, Trigonometry

### What is sin squared x equals cos squared minus 2 sin x?

Since the word 'equals' appears in your questions it might be
what is called a trigonometric identity, in other words a statement
about a relationship between various trigonometric values.
...

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###### Asked in Math and Arithmetic, Proofs, Trigonometry

### How do you verify the identity of cos Î¸ tan Î¸ equals sin Î¸?

To show that (cos tan = sin) ???
Remember that tan = (sin/cos)
When you substitute it for tan, cos tan = cos (sin/cos) =
sin
QED
...

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###### Asked in Math and Arithmetic, Algebra, Trigonometry

### How do you simplify cos theta times csc theta divided by tan theta?

'csc' = 1/sin
'tan' = sin/cos
So it must follow that
(cos) (csc) / (tan) = (cos) (1/sin)/(sin/cos) = (cos) (1/sin)
(cos/sin) = (cos/sin)2
...

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###### Asked in Math and Arithmetic, Algebra, Calculus

### How do you factor sin squared times x plus cos2x -cosx equals 0?

What do you mean sin squared times x?
sin ^2 x means one and only one thing, (sin x) ^2
same as sin ^ n x = (sin x) ^n and cos ^n x = (cos x)^n
you need to know (and why):
sin ^2 x + cos ^2 x = 1
cos 2x = 1 - 2sin ^2 x (= cos ^2 x - sin ^2 x)
so sin ^2 x + cos (2x) - cos x = sin ^2...

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###### Asked in Math and Arithmetic, Algebra, Calculus

### How do you differentiate sin squared x plus cos squared x?

The deriviative of sin2 x + cos2 x is 2 cos x - 2 sin x

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###### Asked in Math and Arithmetic, Algebra, Geometry

### What is sine squared times cotangent squared times secant squared?

The answer is 1.
sin^2 x cos^2/sin^2 x 1/cos^2
cos^2 will be cancelled =1
sin^2 also will be cancelled=1
1/1 = 1
...

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###### Asked in Math and Arithmetic, Algebra, Calculus

### Csc squared divided by cot equals csc x sec. can someone make them equal?

cot(x)=1/tan(x)=1/(sin(x)/cos(x))=cos(x)/sin(x)
csc(x)=1/sin(x)
sec(x)=1/cos(x)
Therefore,
(csc(x))2/cot(x)=(1/(sin(x))2)/cot(x)=(1/(sin(x))2)/(cos(x)/sin(x))=(1/(sin(x))2)(sin(x)/cos(x))=(1/sin(x))*(1/cos(x))=csc(x)*sec(x)
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###### Asked in Trigonometry, Math and Arithmetic

### Sin 15 plus cos 105 equals?

Sin 15 + cos 105 = -1.9045

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###### Asked in Proofs

### How do you proof the formula sin2A equals 2sinAcosA?

First, note that sin(a+b)=sin(a)cos(b)+sin(b)cos(a)
[For a proof, see:
www.mathsroom.co.uk/downloads/Compound_Angle_Proof.ppt
For the case of b=a, we have:
sin (a+a)=sin(a)cos(a)+sin(a)cos(a)
sin (2a)=2*sin(a)cos(a)
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###### Asked in Calculus

### How do you solve sinx divided by 1 plus cosx plus cosx divided by sinx?

sin x/(1+cos x) + cos x / sin x
Multiply by sin x (1+cos x)
=[(sin^2 x + cos x(1+cos x) ] / sin x (1+cos x)
= [(sin^2 x + cos x + cos^2 x) ] / sin x (1+cos x)
sin^2 x + cos^2 x = 1
= (1+cos x) / sin x (1+cos x)
= 1/sin x
...

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