Transformation Formulae

Math ⇒ Trigonometry

Transformation 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 Transformation 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 the importance of transformation formulae in solving trigonometric equations.

Explain how transformation formulae can be used to simplify the expression sinx + sin3x.

Express cosA - cosB as a product of sines.

Express cosA + cosB as a product.

Express sinA + sinB in terms of product of sines and cosines.

If A = 75° and B = 15°, calculate sinA + sinB using the sum-to-product formula.

If cosA + cosB = 2 cos[(A+B)/2] cos[(A-B)/2], what is cos120° + cos60°?

If cosA = 0.6 and cosB = 0.8, find cosA cosB using the product-to-sum formula.

If sinA - sinB = 2 cos[(A+B)/2] sin[(A-B)/2], what is sin60° - sin30°?

If sinA = 0.5 and sinB = 0.6, find sinA sinB using the product-to-sum formula.

Prove that sinA + sinB = 2 sin[(A+B)/2] cos[(A-B)/2].

State the formula for tan(A + B) in terms of tanA and tanB.

State the product-to-sum formula for cosA sinB.

State the transformation formula for cos(A - B).

Write the transformation formula for the product sinA sinB.