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| Math Central | Quandaries & Queries |
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Question from Tony, a student: find the value of pi in the following: sin pi= cos(pi + 40) sin(80 - pi)=cos pi your kind input is really appreciated |
Hi Tony,
If you are trying to solve $\sin(x) = \cos(x + 40)$ then I suggest that you use the multiple angle formula for the cosine function to expand the right side. This will give you an equation involving $\sin(x)$ and $\cos(x).$ If you now divide both sides by $\cos(x)$ you will have an equation for $\tan(x)$ which you can solve for $x.$
Penny
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