Trigonometryhard · Past Paper

If cosec θ - cot θ = p, find the value of cos θ.

A(p²-1)/(p²+1)
B(1-p²)/(1+p²)
C2p/(1+p²)
D(1+p²)/(1-p²)

✓ Correct Answer: B(1-p²)/(1+p²)

Using cosec+cot = 1/p and solving for sin/cos results in cos θ = (1-p²)/(1+p²).

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