Trigonometric Identities
Math ⇒ Trigonometry
Trigonometric Identities starts at 10 and continues till grade 12.
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See sample questions for grade 10
State the co-function identity for cot(90° - θ).
State the co-function identity for sec(90° - θ).
State the co-function identity for tan(90° - θ).
State the Pythagorean identity involving cotangent and cosecant.
State the reciprocal identity for cotθ.
State the reciprocal identity for cscθ.
Given that sinA = 3/5 and A is in the second quadrant, find the value of cosA.
If sinθ = 0.6 and θ is in the second quadrant, what is the value of tanθ?
Which of the following is equivalent to 1 + tan²θ?
(1) sec²θ
(2) csc²θ
(3) sin²θ
(4) cos²θ
Which of the following is NOT a trigonometric identity?
(1) sin²θ + cos²θ = 1
(2) tanθ = sinθ / cosθ
(3) sinθ = cosθ
(4) secθ = 1 / cosθ
Which of the following is the correct co-function identity?
(1) sin(90° - θ) = cosθ
(2) sin(90° - θ) = sinθ
(3) sin(90° - θ) = tanθ
(4) sin(90° - θ) = secθ
Which of the following is the correct identity for cos²θ in terms of sin²θ?
(1) cos²θ = 1 - sin²θ
(2) cos²θ = 1 + sin²θ
(3) cos²θ = sin²θ
(4) cos²θ = 2sin²θ
Fill in the blank: cos(90° - θ) = _________.
Fill in the blank: cotθ = _________.
Fill in the blank: csc(90° - θ) = _________.
Fill in the blank: secθ = _________.
True or False: cos(90° - θ) = sinθ.
True or False: cotθ = 1 / tanθ.
True or False: csc²θ - cot²θ = 1.
True or False: sec²θ - tan²θ = 1.
