Question Bank

What is the value of tan(45° - A) if tan A = 1/3?

In a triangle ABC, if A + B + C = 180°, then sin(A + B) is equal to:

Convert sin 2A in terms of tan A.

Simplify: sin A cos A cos 2A.

Express cos 2A in terms of tan A.

Find the value of cos² 15° - sin² 15°.

If A + B = 45°, what is (1 + tan A)(1 + tan B)?

What is the value of 1 - 2 sin² 22.5°?

Evaluate: cos 10° cos 20° - sin 10° sin 20°.

Simplify: tan θ + cot θ.

If cos A = 4/5, find cos 2A.

What is sin(A - B) cos B + cos(A - B) sin B?

Value of sin 105° is same as:

Which of the following is equivalent to cot(A - B)?

Simplify: 4 sin³ 10° - 3 sin 10°.

Express sin 3θ in terms of sin θ.

Simplify: (cos 3A / cos A) + (sin 3A / sin A).

In triangle ABC, tan A + tan B + tan C is equal to:

Simplify: √( (1 - cos A) / (1 + cos A) ).

What is the value of cos 20° cos 40° cos 80°?