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  • 3 years ago

How to solve? cos( 2theta)+10 sin^2 theta =7

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  1. ZeHanz
    • 3 years ago
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    I'll switch to x instead of theta, typing is a lot easier then... Your equation: cos2x+10sin²x=7. There is a (well-known) formula for cos2x: cos2x=1-2sin²x. If we put that in place of cos2x, we get: 1-2sin²x+10sin²x=7, which after cleaning up becomes: 8sin²x=6. I think it's your turn to do the next step now...

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