Question Bank

Evaluate: cos 12° + cos 84° + cos 132° + cos 156°.

Simplify: (cos A + sin A) / (cos A - sin A) - (cos A - sin A) / (cos A + sin A).

What is the value of tan 9° - tan 27° - tan 63° + tan 81°?

If sin A + sin B = x and cos A + cos B = y, then tan((A+B)/2) is:

Simplify: 1 / (1 + sin² A) + 1 / (1 + cosec² A).

Value of sin² 5° + sin² 10° + ... + sin² 90° is:

If A + B + C = 180°, find value of cot B cot C + cot C cot A + cot A cot B.

What is the simplified form of cos⁴ θ - sin⁴ θ?

If sin A + cos A = m, then sin 2A is:

Evaluate: tan 15°.

What is the value of sin^2(theta) + cos^2(theta)?

Which of the following is equal to tan(theta)?

The expression sec^2(theta) - tan^2(theta) is equal to:

What is the reciprocal of sin(theta)?

The value of cot(theta) * tan(theta) is:

Express cosec^2(theta) - 1 in terms of cotangent.

What is sin(90 - theta) equal to?

The value of cos(0) is:

If sin(theta) = 3/5, what is the value of cosec(theta)?

Simplify: (1 - sin^2(theta)) * sec^2(theta)