Top Answer

It's easiest to show all of the work (explanations/identities), and x represents theta.

cosxcotx + sinx = cscx

cosx times cosx/sinx + sinx = csc x (Quotient Identity)

cosx2 /sinx + sinx = csc x (multiplied)

1-sinx2/sinx + sinx = csc x (Pythagorean Identity)

1/sinx - sinx2/sinx + sinx = csc x (seperate fraction)

1/sinx -sinx + sinx = csc x (canceled)

1/sinx = csc x (cancelled)

csc x =csc x (Reciprocal Identity)

🙏🏿

0🤨

0😮

0😂

0cos2(theta) = 1 so cos(theta) = Â±1 cos(theta) = -1 => theta = pi cos(theta) = 1 => theta = 0

Until an "equals" sign shows up somewhere in the expression, there's nothing to prove.

The question contains an expression but not an equation. An expression cannot be solved.

cos2(theta) = 1 cos2(theta) + sin2(theta) = 1 so sin2(theta) = 0 cos(2*theta) = cos2(theta) - sin2(theta) = 1 - 0 = 1

There is a hint to how to solve this in what is required to be shown: a and b are both squared.Ifa cos θ + b sin θ = 8a sin θ - b cos θ = 5then square both sides of each to get:a² cos² θ + 2ab cos θ sin θ + b² sin² θ = 64a² sin² θ - 2ab sin θ cos θ + b² cos² θ = 25Now add the two together:a² cos² θ + a² sin² θ + b² sin² θ + b² cos² θ = 89→ a²(cos² θ + sin² θ) + b² (sin² θ + cos² θ) = 89using cos² θ + sin² θ = 1→ a² + b² = 89

4*cos2(theta) = 1 cos2(theta) = 1/4 cos(theta) = sqrt(1/4) = Â±1/2 Now cos(theta) = 1/2 => theta = 60 + 360k or theta = 300 + 360k while Now cos(theta) = -1/2 => theta = 120 + 360k or theta = 240 + 360k where k is an integer.

cos(theta) = 0.7902 arcos(0.7902) = theta = 38 degrees you find complimentary angles

Remember that tan = sin/cos. So your expression is sin/cos times cos. That's sin(theta).

Verify the identity:1/(cos Î¸)^2 - (tan Î¸)^2 = (cos Î¸)^2 + 1/(csc Î¸)^21/(cos Î¸)^2 - (sin Î¸)^2/(cos Î¸)^2 = (cos Î¸)^2 + (sin Î¸)^2 ?1 - (sin Î¸)^2/(cos Î¸)^2 = (cos Î¸)^2 + (sin Î¸)^2 ?(cos Î¸)^2/(cos Î¸)^2 = 1 ?1 = 1 TrueMethod 21/(cos Î¸)2 - (tan Î¸)2 =? (cos Î¸)2 + 1/(cscÎ¸)21/(cos Î¸)2-(sinÎ¸)2/(cos Î¸)2=? (cosÎ¸)2+ sin(Î¸)21/(cos Î¸)2[1-sin(Î¸)2]=? cos(Î¸)2+sin(Î¸)21/cos(Î¸)2(cos(Î¸)2)=? 11=1 True

(Sin theta + cos theta)^n= sin n theta + cos n theta

It is cotangent(theta).

Let 'theta' = A [as 'A' is easier to type] sec A - 1/(sec A) = 1/(cos A) - cos A = (1 - cos^2 A)/(cos A) = (sin^2 A)/(cos A) = (tan A)*(sin A) Then you can swap back the 'A' with theta

Zero. Anything minus itself is zero.

You can use the Pythagorean identity to solve this:(sin theta) squared + (cos theta) squared = 1.

The fourth Across the quadrants sin theta and cos theta vary: sin theta: + + - - cos theta: + - - + So for sin theta < 0, it's the third or fourth quadrant And for cos theta > 0 , it's the first or fourth quadrant. So for sin theta < 0 and cos theta > 0 it's the fourth quadrant

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

cosine (90- theta) = sine (theta)

[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 - 1iff -cos^2 = sin^2 - 11 = sin^2 + cos^2, which is true,

It is a simple trigonometric equation. However, without information on whether the angles are measures in degrees or radians, and with no domain for theta, the equation cannot be solved.

cosec(q)*cot(q)*cos(q) = 1/sin(q)*cot(q)*cos(q) = cot2(q)

For such simplifications, it is usually convenient to convert any trigonometric function that is not sine or cosine, into sine or cosine. In this case, you have: sin theta / sec theta = sin theta / (1/cos theta) = sin theta cos theta.

It's 1/2 of sin(2 theta) .

cos(t) - cos(t)*sin2(t) = cos(t)*[1 - sin2(t)] But [1 - sin2(t)] = cos2(t) So, the expression = cos(t)*cos2(t) = cos3(t)

The equation cannot be proved because of the scattered parts.

You must think of the unit circle. negative theta is in either radians or degrees and represents a specific area on the unit circle. Remember the unit circle is also like a coordinate plane and cos is the x while sin is the y coordinate. Here is an example: cos(-45): The cos of negative 45 degrees is pi/4 and cos(45) is also pi/4

Trending Questions

Best foods for weight loss?
Asked By
Wiki User

How do you get 1000000 robux for free?
Asked By
Wiki User

What is 8.275 rounded to the nearest ounce?
Asked By
Wiki User

What does program mean in brain teaser?
Asked By
Wiki User

The more you take the more you leave behind what am I?
Asked By
Wiki User

Does Neil Robertson wear a wig?
Asked By
Wiki User

Hottest Questions

How did chickenpox get its name?
Asked By
Wiki User

Do animals name each other?
Asked By
Danika Abbott

Previously Viewed

Verify that Cos theta cot theta plus sin theta equals csc theta?
Asked By
Wiki User

Unanswered Questions

Why is your Gone With the Wind book dated in roman numerals?
Asked By
Wiki User

Ano ang epekto ng polo y servicio sa mga Filipino?
Asked By
Wiki User

Ano ang mga halimbawa ng tekstong nareysyon?
Asked By
Wiki User

Saan nagmula ang gitara?
Asked By
Wiki User

Uri ng tekstong nareysyon?
Asked By
Wiki User

Can you get Takis at 7 eleven?
Asked By
Wiki User

Who is the girl in Aerosmith video Ragdoll?
Asked By
Wiki User

What is the meaning of lokomotor movements?
Asked By
Wiki User