Trigonometry

0.965925826

Sine 22 = -0.00885130929

If the numerator is 0 AND the denominator is not 0, then the ratio is 0. And cosine of 0 is 1.

Depending on which sides and angle are known you would use one of the trigonometry functions.

Cotangent of ∞ is not π/2. It's actually nonexistent since cotangent is the continually oscillating function.

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Yes, it can.

If you plot theta and sin(theta) on the same graph, you will see where they intersect.

I do not know of an analytical expression for this point; I think only numerical results are possible.

sec + tan = cos /(1 + sin)

sec and tan are defined so cos is non-zero.

1/cos + sin/cos = cos/(1 + sin)

(1 + sin)/cos = cos/(1 + sin)

cross-multiplying, (1 + sin)2 = cos2

(1 + sin)2 = 1 - sin2

1 + 2sin + sin2 = 1 - sin2

2sin2 + 2sin = 0

sin2 + sin = 0

sin(sin + 1) = 0

so sin = 0 or sin = -1

But sin = -1 implies that cos = 0 and cos is non-zero.

Therefore sin = 0 or the solutions are k*pi radians where k is an integer.

Consider any triangle ABC, and let AD be the altitude from A on to BC.

Then sin(B) = AD/AB so that AD = AB*sin(B)

and sin(C) = AD/AC so that AD = AC*sin(C)

Therefore AB*sin(B) = AC*sin(C)

or c*sin(B) = b*sin(C) where the lower case letter represents the side opposite the angle with the upper case name.

Divide both sides by bc to give sin(B)/b = sin(C)/c.

Similarly, using the altitude from B you can show that sin(A)/a = sin(C)/c.

Combining with the previous result,

sin(A)/a = sin(B)/b = sin(C)/c.

It is a non-linear function of theta.

sin[cos-1(x)] is an expression; it is not an equation (nor inequality). An expression cannot be solved.

Any number can be a tan. So -sqrt(17), 19.56, 45678942 are all examples of tan.

Cosine can have any value in the range [-1, 1].

No.

Yes

1 and the positive and negative square roots of 2

y-axis

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sin(39 deg) = 0.6293

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The name originated in Wales during the mid 1200's and was mostly 'transported' over to Ireland during the 1600's. In 1842, The first Irishmen with the surname Lattimore moved over to England in the attempt for work during the Industrial Revolution. Ever since then, the surname Lattimore has been mostly common in England, Ireland and Wales.

Fertilizers typically add nitrates, phosphates and sulfates as well as salts of magnesium, potassium and calcium. They may also contain micronutrients of other metals.

0.0348995 (rounded)

The trigonometric function of an angle gives a certain value

The arc trigonometric function of value is simply the angle

For example, if sin (30 degrees) = 0.500

then arc sine ( 0.500) = 30 degrees

The cotangent of 60 degrees is 1\(3^1\2).