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1.7.15 Sec, cosec and cot functions (A-level only)

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Question 14
a.

Use the identity cos⁡2θ+sin⁡2θ=1\cos^2\theta + \sin^2\theta = 1cos2θ+sin2θ=1 to prove that sec⁡2θ−tan⁡2θ=1\sec^2\theta - \tan^2\theta = 1sec2θ−tan2θ=1

[2]
b.

Solve, for 0≤θ≤3600 \leq \theta \leq 3600≤θ≤360, the equation,

2tan⁡2θ−sec⁡θ=4 2\tan^2\theta - \sec\theta = 4 2tan2θ−secθ=4

Give your answers to 1 decimal place.

[5]

1.7.15 Sec, cosec and cot functions (A-level only) Questions

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  3. /1.7.15 Sec, cosec and cot functions (A-level only)