Sum and Difference Formulae

Math ⇒ Trigonometry

Sum and Difference Formulae starts at 11 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Sum and Difference Formulae. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 12

Describe a real-world application where sum and difference formulae are used.

Explain why the sum and difference formulae are important in trigonometry.

Given tan A = 1 and tan B = 2, find tan(A + B).

If cos A = 0.6 and sin B = 0.8, with both A and B in the first quadrant, and sin A = 0.8, cos B = 0.6, find cos(A - B).

If sin 30° = 1/2 and cos 45° = √2/2, calculate sin(30° + 45°).

If sin 75° = sin(45° + 30°), use the sum formula to find its value.

If sin A = 0.5 and cos B = 0.5, with A and B in the first quadrant, and cos A = √3/2, sin B = √3/2, find sin(A - B).

If sin A = 0.6, cos A = 0.8, sin B = 0.8, and cos B = 0.6, find cos(A + B).

If sin A = 0.6, cos A = 0.8, sin B = 0.8, and cos B = 0.6, find tan(A + B).

If sin A = 3/5 and cos B = 4/5, with A and B both in the first quadrant, find sin(A + B).

If tan A = 1 and tan B = √3, find tan(A - B).

If tan A = 1/2 and tan B = 1/3, find tan(A + B).

Prove that cos(90° - x) = sin x using sum and difference formulae.

Prove that tan(A + B) = (tan A + tan B) / (1 - tan A tan B).

State the difference formula for sin(A - B).

State the sum formula for sin(A + B).