Trig Ratios

If theta = 45 degrees, find the value of (cosec^2 theta - 1).

Evaluate: cos 1 * cos 2 * cos 3 ... cos 90

If sin A + sin^2 A = 1, find the value of cos^2 A + cos^4 A.

What is the value of (1 + tan theta + sec theta)(1 + cot theta - cosec theta)?

Simplify: (1 + tan^2 A) / (1 + cot^2 A)

In a right triangle, if sin theta = a/b, then cos theta is:

If tan A = 1 and tan B = sqrt(3), find cos A cos B - sin A sin B.

Find the value of sqrt((1 + sin A) / (1 - sin A)).

If sin theta + cos theta = sqrt(2) cos theta, find the value of cos theta - sin theta.

Solve for x: tan 3x = sin 45 cos 45 + sin 30.

Find the value of (cosec A - sin A)(sec A - cos A)(tan A + cot A).

If a cos theta - b sin theta = c, find the value of a sin theta + b cos theta.

Simplify: (sin^4 A - cos^4 A + 1) cosec^2 A

If tan theta = p/q, find the value of (p sin theta - q cos theta) / (p sin theta + q cos theta).

What is the value of cot^2 30 - 2 cos^2 60 - 3/4 sec^2 45 - 4 sin^2 30?

If 7 sin^2 theta + 3 cos^2 theta = 4, then tan theta is:

If sec A + tan A = x, then find the value of sin A.

In triangle ABC, right angled at C, if tan A = 1/sqrt(3), find sin A cos B + cos A sin B.

If m = cosec theta - sin theta and n = sec theta - cos theta, find (m^2 n)^(2/3) + (mn^2)^(2/3).

Evaluate: (cos^2 20 + cos^2 70) / (sin^2 59 + sin^2 31)