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If 3costheta=5sintheta, then the value o...

If `3costheta=5sintheta,` then the value of `(5sintheta-2sec^3theta+2costheta)/(5sintheta+2sec^3theta-2costheta)` is (a) `(271)/(979)` (b) `(316)/(2937)` (c) `(542)/(2937)` (d) None of these

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RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
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  2. If theta is an acute angle such that tan^2theta=8/7 , then the value o...

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  3. If 3costheta=5sintheta, then the value of (5sintheta-2sec^3theta+2cost...

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  4. If tan^2 45^@-cos^2 30^@=xsin45^@ \ cos45^@, then x is (a) 2 (b) -2 (c...

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  5. The value of cos^2 17^@ - sin^2 73^@ is (a) 1 (b) 1/3 (c) 0 (d) -1

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  6. The value of (cos^3 20^@-cos^3 70^@)/(sin^3 70^@-sin^3 20^@) is (a) 1/...

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  7. If A and B are complementary angles, then (a) sinA=sinB (b) cosA=cos...

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  8. If xsin(90o-theta)cot(90o-theta)=cos(90o-theta) , then x= (a) 0 (b) 1...

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  9. If xtan45ocos60o=sin60ocot60o , then x is equal to 1 (b) sqrt(3) (c) 1...

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  10. If angles A ,\ B ,\ C of a /\A B C form an increasing A P , then sinB=...

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  11. If theta is an acute angle such that sec^2theta=3 , then the value...

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  12. The value of tan1otan2otan3oddottan89o is (a) 1 (b) -1 (c) 0 (d) No...

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  13. The value of cos1ocos2ocos3oddotcos180o is (a) 1 (b) 0 (c) -1 (d) N...

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  14. The value of tan10otan15otan75otan80o is -1 (b) 0 (c) 1 (d) None of...

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  15. If theta and 2theta-45^@ are acute angles such that sintheta=cos(2thet...

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  16. If 5theta and 4theta are acute angles satisfying sin5theta=cos4thet...

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  18. (1-tan^2 45o)/(1+tan^2 45o) is equal to tan90o (b) 1 (c) sin45o (d) si...

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  19. sin2A=2sinA is true when A= 0o (b) 30o (c) 45o (d) 60o

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  20. (2tan30o)/(1-tan^2 30o) is equal to cos60o (b) sin60o (c) tan60o (d) s...

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