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Find the maximum and minimum values of each of the following trigonometrical expression: `24 s intheta+7costheta`

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We know that the maximum and minimum values of `acosx+bsinx `are `sqrt(a^2+b^2)` ​ and `−sqrt(a^2+b^2)` ​
Hence, the maximum and minimum values of `7costheta+24sintheta `are `sqrt(7^2+24^2) ​=25 `
and `−sqrt(7^2+24^2) ​=−25`.
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  14. Write the maximum value of 12 s intheta-9sin^2\ \ thetadot

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  15. If 12 sintheta-9sin^2theta attains its maximum value at theta=alpha , ...

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  16. Write the interval in which the values of 5costheta+3cos(theta+pi/3)+3...

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  18. If (cos(x-y))/(cos(x+y))=m/n , then write the value of tan x tanydot

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  19. If a=b cos((2pi)/3)= c cos((4pi)/3), then write the value o a b+b c+c ...

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  20. If A+B=C , then write the value of tan A tanB tanCdot

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