AM-912

Trigonometric ratios of any angle

A Math · Secondary 3 · Hard · Trigonometric ratios of any angle

Given that

\tan\theta=2

and

\cos\theta<0

, express

\dfrac{1}{1-\sin\theta}

in the form

\dfrac{a+b\sqrt{5}}{5}

, where

a

and

b

are constants.

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