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Prove the following identity: (t a n A)/...

Prove the following identity: `(t a n A)/(1-cot A)+(cot A)/(1-t a n A)=(s e c A\ cos e c\ A+1)`

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To prove the identity \[ \frac{\tan A}{1 - \cot A} + \frac{\cot A}{1 - \tan A} = \sec A \csc A + 1, \] we will start by simplifying the left-hand side (LHS) step by step. ...
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The expression (t a n A)/(1-cot A)+(cot A)/(1-t a n A) can be written as sin A cos A+1 b. s e c A\ cos e c A+1 c. t a n A+cot A d. s e c A+cos e c A

RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
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  13. Prove the following identity: costheta(t a ntheta+2)(2t a ntheta+1)=2s...

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  14. If sintheta=(a^2-b^2)/(a^2+b^2), find the value of t a ntheta,\ s e ct...

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  15. If t a ntheta=a/b ,\ show that (a\ sintheta-b costheta)/(\ a\ sinthet...

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  16. If cosectheta-sintheta=a^3, sectheta-costheta=b^3, then prove that a^...

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  17. If sintheta+costheta=m , then prove that sin^6theta+cos^6theta=(4-3(m^...

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  18. Find the values of cos theta and tan theta when sin theta =-3/5 and pi...

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  19. If cos theta= -sqrt(3)/2 and pi < theta < (3pi)/2 then find the value ...

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