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sec^(2)2x=1-tan2x...

`sec^(2)2x=1-tan2x`

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Solve the following trigonometric equations, (i) sec^(2)2x=1-"tan"2x

int sec^(2)x-tan^(2)x

int(sec^(2)x)/(1-tan^(2)x)dx

Evaluate: int(sec^(2)x)/(1-tan^(2)x)dx

int(4sec^(2)x tan x)/(sec^(2)x+tan^(2)x)dx=log|1+f(x)|+C

int(1)/(sec^(2)x+2tan^(2)x)dx

Evaluate: int(sec^2x)/(1-tan^2x)\ dx

int(1)/(sqrt(sec^(2)x+tan^(2)x))dx=

int (tanx sec^(2)x)/((1-tan^(2)x))dx.

Prove that : 2sec^(2)x-sec^(4)x-2cos ec^(2)x+cos ec^(4)x=(1-tan^(8)x)/(tan^(4)x)

MAHAVEER PUBLICATION-TRIGONOMETRIC RATIOS-QUESTION BANK
  1. Find the principal solution of the equation cos x=-1/2

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  2. Solve sin 2x+cos x=0

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  3. sec^(2)2x=1-tan2x

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  4. Solve for theta,2 cos^2 theta+sin theta-1=0,0 le theta le pi/2

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  5. Convert the following radian into degree measure(4pi)/5

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  6. Convert the following radian into degree measure(7pi)/6

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  7. Convert the following radian into degree measure(5pi)/3

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  8. If sin theta = 5/7 what is cos theta and tan theta?

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  9. If cos theta= 3/5 what is tan theta and cos ectheta?

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  10. If tan theta= 5/4 what is sin theta and cos theta?

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  11. If cos theta=-4/5, find the value of cot theta?

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  12. Given tan theta=-3/4 and (3pi)/2 lt theta lt 2pi, find the other trigo...

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  13. If tan (A+B)=p, tan(A-B)=q find tan 2A.

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  14. If tantheta=a/b , show that (asintheta-bcostheta)/(asintheta+bcostheta...

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  15. Evaluate the following: sin 78^@ cos 18^@-cos 78^@ sin 18^@

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  16. Evaluate the following: cos 47^@ cos 13^@-sin 47^@ sin 13^@

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  17. Find the value of the following trigonometric functions: sin 765^@

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  18. Find the value of the following trigonometric functions:cos(-1410^@)

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  19. Find the value of the following trigonometric functions:sin(-(11pi)/3)

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  20. Find the value of the following trigonometric functions:cot(-(15pi)/4)

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