Trigonometric Identities

Math ⇒ Trigonometry

Trigonometric Identities starts at 10 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Trigonometric Identities. 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

Express sin(3x) in terms of sin(x) only.

If cosθ = 0.6 and θ is in the fourth quadrant, what is sinθ?

If sinθ = 3/5 and θ is in the first quadrant, find cosθ.

If sinA = 0.6 and cosA = 0.8, find tanA.

If sinx = 0.8 and x is in the second quadrant, what is cosx?

If tanx = 2 and x is in the third quadrant, find sinx and cosx.

Prove that (1 - cos2x)/2 = sin²x.

Prove that 1 + tan²x = sec²x.

Prove that sin(x)sec(x) = tan(x).

State the co-function identity for sine and cosine.

State the Pythagorean identity involving secant and tangent.