Trigonometric identities

Trigonometric identities Quiz

Spec 6.1 · Edexcel International A Level Maths: Quiz

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5 questions, one answer each

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  1. 1. sin⁡θ=35\sin\theta=\frac35 and θ\theta is acute. Find tan⁡θ\tan\theta.

    • A. 43\frac43
    • B. 35\frac35
    • C. 45\frac45
    • D. 34\frac34

  2. 2. Simplify 1−cos⁡2θ1-\cos^2\theta.

    • A. sin⁡θ\sin\theta
    • B. sin⁡2θ\sin^2\theta
    • C. tan⁡2θ\tan^2\theta
    • D. cos⁡θ\cos\theta

  3. 3. Simplify tan⁡θcos⁡θ\tan\theta\cos\theta.

    • A. sin⁡θ\sin\theta
    • B. cos⁡2θ\cos^2\theta
    • C. 11
    • D. cos⁡θsin⁡θ\frac{\cos\theta}{\sin\theta}

  4. 4. cos⁡θ=−35\cos\theta=-\frac35 and θ\theta is obtuse. Find sin⁡θ\sin\theta.

    • A. −45-\frac45
    • B. 34\frac34
    • C. 45\frac45
    • D. 1625\frac{16}{25}

  5. 5. Simplify sin⁡2x1−sin⁡2x\frac{\sin^2x}{1-\sin^2x}.

    • A. cos⁡2x\cos^2x
    • B. tan⁡2x\tan^2x
    • C. sin⁡2x\sin^2x
    • D. 11

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