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If t a n^2theta=1-a^2 , prove that secth...

If `t a n^2theta=1-a^2` , prove that `sectheta+t a n^3thetacos e ctheta=(2-a^2)^(3//2).`

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RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If any quadrilateral ABCD, prove that "sin"(A+B)+sin(C+D)=0 "cos"(A...

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  2. Find the value of the expression 3{sin^4((3pi)/2-theta)+sin^4(3pi+the...

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  3. If t a n^2theta=1-a^2 , prove that sectheta+t a n^3thetacos e ctheta=(...

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  4. If acos^3theta+3acosthetasin^2theta=m and asin^3theta+3acos^2thetasin...

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  5. If 2t a n^2alphat a n^2betat a n^2gamma+t a n^2alphat a n^2beta+t a ...

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  6. If m^2 + m'^2 + 2mm' costheta = 1 and n^2+n'^2+2n n'costheta=1, (mn +...

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  7. If (sin^4theta)/a+(cos^4theta)/b=1/(a+b) , prove that (sin^8theta)/(a...

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  8. If (cos^4alpha)/(cos^2beta)+(sin^4alpha)/(sin^2beta)=1 prove that (i...

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  9. If x is any non-zero real number, show that costheta' a n d ' sinthet...

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  10. If A=cos^2theta+sin^4theta, prove that 3/4lt=Alt=1 for all values of...

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  11. If tantheta+sectheta=e^x then costheta equals

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  12. Prove that:sqrt((1+costheta)/(1-costheta))=cos e ctheta+cottheta .

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  13. Prove the following identities: sin^8theta-cos^8theta=(sin^2theta-cos^...

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  14. Prove the following identities: cot^4theta+cot^2theta=cos e c^4theta-"...

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  15. Prove the following identities: 2sec^2theta-sec^4theta-2cos e c^2theta...

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  16. Prove the following identities: (sintheta+cos e ctheta)^2+(costheta+s...

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  17. Prove the following identity: (1+cottheta-cos e ctheta)(1+t a ntheta+s...

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  18. Prove the following identity: (t a ntheta+s e ctheta-1)/(t a ntheta-s ...

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  19. If costheta+sintheta=sqrt(2)costheta, show that costheta-sintheta=sqrt...

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  20. If acostheta+b sintheta=x and asintheta-bcostheta=y prove that a^2+...

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