Multiple and Submultiple Angle Formulae

Math ⇒ Trigonometry

Multiple and Submultiple Angle Formulae starts at 12 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Multiple and Submultiple Angle 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

Derive the formula for cos(2A) in terms of sin²A.

Express cos(3A) in terms of cos(A) only.

Express sin(2A) in terms of tan(A).

Express sin(4A) in terms of sin(A) and cos(A).

If cos(A) = 0.5 and A is in the first quadrant, find sin(2A).

If cos(A) = 0.6 and A is in the first quadrant, find cos(2A).

If cos(A) = 0.8 and A is in the first quadrant, find sin(2A).

If sin(A) = 0.5 and A is in the first quadrant, find tan(A/2).

Which of the following is NOT a correct multiple angle formula? (1) sin(2A) = 2 sinA cosA (2) cos(2A) = 2 cos²A - 1 (3) tan(2A) = 2 tanA / (1 + tan²A) (4) sin(3A) = 3 sinA - 4 sin³A

Which of the following is the correct expression for cos(3A)? (1) 4 cos³A - 3 cosA (2) 3 cosA - 4 cos³A (3) 4 cosA - 3 cos³A (4) 3 cos³A - 4 cosA

Which of the following is the correct formula for cos(2A) in terms of tan(A)? (1) (1 - tan²A) / (1 + tan²A) (2) (1 + tan²A) / (1 - tan²A) (3) (1 - tan²A) / (1 - tan²A) (4) (1 + tan²A) / (1 + tan²A)

Which of the following is the correct formula for cos(4A) in terms of cos(A)? (1) 8 cos⁴A - 8 cos²A + 1 (2) 8 cos⁴A - 8 cos²A - 1 (3) 8 cos⁴A - 8 cos²A + 2 (4) 8 cos⁴A - 8 cos²A + 3

Fill in the blank: cos(2A) = ___ - 2 sin²A

Fill in the blank: cos(2A) = 2 cos²A - ___.

Fill in the blank: cos(3A) = 4 cos³A - ___ cosA

Fill in the blank: sin(2A) = 2 ___ cosA

True or False: cos(2A) = cos²A - sin²A

True or False: sin(2A) = 2 sinA cosA is valid for all real values of A.

True or False: sin(2A) = sin²A - cos²A

True or False: tan(2A) = 2 tan(A) / (1 - tan²A)