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 11

Explain the difference between sum-to-product and product-to-sum formulae in trigonometry.

Express cos(15°) in terms of cos(45°) and cos(30°) using the difference formula.

Express cos(75°) in terms of cos(45°) and cos(30°) using the appropriate transformation formula.

Express sin(75°) in terms of sin(45°) and cos(30°) using the sum formula.

If cosA = 0.8 and sinA = 0.6, find cos(2A).

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

If sinA = 0.6 and sinB = 0.8, find sinA + sinB using the sum-to-product formula.

If sinA = 3/5 and cosB = 4/5, find sin(A + B) given that both A and B are in the first quadrant.

If tanA = 1, find tan(2A).

If tanA = 1/2, find tan(2A).

Write the formula for cos(2A) in terms of sinA only.

Write the formula for sin(2A) in terms of sinA and cosA.

Write the formula for sinA - sinB in terms of products.

Write the formula for sinA sinB in terms of cosines.

Write the formula for tan(2A) in terms of tanA.

Express cos(4x) - cos(2x) as a product using transformation formulae.

Express sin(5x) + sin(3x) as a product using the appropriate transformation formula.

Given that sinA + sinB = 1 and cosA + cosB = 0, find the value of sin(A + B).

Given that tanA = 2 and tanB = 3, compute tan(A + B) using the transformation formula.

If sinA = 0.6 and cosB = 0.8, and both A and B are in the first quadrant, find sinA cosB using the product-to-sum formula.