Question

Simplify sin 2theta +cos2theta and write your answer

Answer 1

1

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Answer 2

$\sin( 2\theta) + \cos( 2\theta) \\ = \frac{2 \tan( \theta) }{1 + { \tan( \theta) }^{2} } + \frac{1 - { \tan( \theta) }^{2} }{1 + { \tan( \theta) }^{2} } \\ = \frac{2 \tan( \theta) + 1 - { \tan( \theta) }^{2} }{1 + { \tan( \theta) }^{2} }$

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