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If sin(theta+24^(@))=costhetaandtheta+24...

If `sin(theta+24^(@))=costhetaandtheta+24^(@)` is an acute angle , then find the value of `theta` .

Text Solution

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Given that , `sin(theta+24^(@))=costheta`
`rArrsin(theta+24^(@))=sin(90^(@)-theta)rArrtheta^(@)+24^(@)=90^(@)-theta`
`2theta=66^(@)rArrtheta=33^(@)`
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