Question Bank

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)

If x = r sin A cos B, y = r sin A sin B, z = r cos A, then x^2 + y^2 + z^2 is:

Simplify: 1 / (1 + sin^2 A) + 1 / (1 + cosec^2 A)

If tan theta + sin theta = m and tan theta - sin theta = n, then m^2 - n^2 is:

What is the value of sin^6 A + cos^6 A + 3 sin^2 A cos^2 A?

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

Find the value of (1 + cot A - cosec A)(1 + tan A + sec A).

If sec theta + tan theta = p, find the value of cosec theta.

Evaluate: 5 sin^2 30 + cos^2 45 - 4 tan^2 30

If cosec A + cot A = 3, what is the value of cos A?

Find the value of (sin^3 theta + cos^3 theta) / (sin theta + cos theta) + sin theta * cos theta.