For , suppose . Find the value of…

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

For

0<\alpha<\dfrac{\pi}{2}

, suppose

\sin 2\alpha = \dfrac{12}{13}

. Find the value of

\sin^{4}\alpha + \cos^{4}\alpha

. (a)

\dfrac{25}{169}

(b)

\dfrac{144}{169}

(c)

\dfrac{97}{169}

(d)

\dfrac{72}{169}

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