Mathematics Questions

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.

Simplify: sin A / (1 - cos A) if A is in the first quadrant.

If tan^2 theta = 1 - e^2, find sec theta + tan^3 theta * cosec theta.

Evaluate: sin^2 5 + sin^2 10 + ... + sin^2 90.

What is the value of 1 / (1 + tan^2 theta) + 1 / (1 + cot^2 theta)?

If 2 cos theta = 1, find the value of theta.

Which of these is the same as sin 90?

The value of cot 45 is:

If in a triangle p=3, b=4, then sin theta (where theta is opposite to p) is: