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If tantheta=1/(sqrt7), show that (cosec^...

If `tantheta=1/(sqrt7)`, show that `(cosec^(2)theta-sec^(2)theta)/(cosec^(2)theta+sec^(2)theta)=3/4`

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KUMAR PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Test Your Skills
  1. If sectheta=13/5, show that (2sintheta-3costheta)/(4sintheta-9costheta...

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  2. If 21 tan theta= 20, show that (1-sintheta+costheta)/(1+sintheta+costh...

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  3. If tantheta=1/(sqrt7), show that (cosec^(2)theta-sec^(2)theta)/(cosec^...

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  4. Evaluate each of the following :- sin^(2)30^(@)+sin^(2)45^(@)+sin^(2...

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  5. Evaluate each of the following :- 2sin^(2)30^(@)-3cos^(2)45^(@)+tan^...

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  6. Evaluate each of the following :- (cosec^(2)45^(@)sec^(2)30^(@))(sin...

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  7. Evaluate each of the following :- 4/(cot^(2)30^(@))+1/(sin^(2)60^(@)...

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  8. Evaluate each of the following :- (tan^(2)60^(@)+4cos^(2)45^(@)+3sec...

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  9. Find x if 2 sin 3x =sqrt3

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  10. Find x if sqrt3 tan 2x = cos 60° + sin 45° cos 45°

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  11. If A= 30° and B = 60°, verify that cos (A+ B) = cos A cos B - sin A si...

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  12. Find acute angles A and B if sin (A+ 2B) =(sqrt3)/2 and cos (A+ 4B) = ...

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  13. If A and B are acute angles such that tanA=1/2,tanB=1/3 and tan(A+B)=(...

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  14. Evaluate the following : (tan35^(@))/(cot55^(@))+(cot78^(@))/(tan12^...

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  15. Evaluate the following : (sin72^(@)+cos18^(@))(sin72^(@)-cos18^(@))

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  16. Evaluate the following : sec50^(@)sin40^(@)+cos40^(@)cosec50^(@)

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  17. Express each of the following in terms of trigonometric ratios of ang...

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  18. Express each of the following in terms of trigonometric ratios of ang...

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  19. Express each of the following in terms of trigonometric ratios of ang...

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  20. Prove that : tan 20° tan 35° tan 45° tan 55° tan 70° = 1

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