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If sintheta=(3)/(4),then find the value ...

If `sintheta=(3)/(4)`,then find the value of `(2cos^(2)theta-3sin^(2)theta)`.

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The correct Answer is:
`(-13)/(16)`
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NAGEEN PRAKASHAN-INTRODUCTION TO TRIGONOMETRY-Revision Exercise Very Short Answer Questions
  1. If sectheta=(13)/(12),then find the value of cottheta.

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  2. if tantheta=(4)/(3), then the value of (3sintheta+2costheta)/(3sinthet...

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  3. If sintheta=(3)/(4),then find the value of (2cos^(2)theta-3sin^(2)thet...

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  4. If tantheta=sqrt(3),then find the value of sintheta.

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  5. If costheta=(1)/(sqrt(2)),then find the value of (tan^(2)theta+1).

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  6. If sinA=(sqrt(3))/(2)andsinB=(1)/(2), then find the value if sin AcosB...

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  7. If costheta=(1)/(2),then find the value of 4cos^(3)0-3cos0.

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  8. If sintheta=(7)/(25),then find the value of tan^(2)theta.

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  9. If "cosec"theta=sqrt(2),then find the value of (tan^(2)theta-1).

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  10. If sintheta=(1)/(2), then find the value of sin2theta

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  11. If costheta=(1)/(sqrt(2)),then find the value of cos2theta.

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  12. Find the value of (1-2sin^(2)30^(@)).

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  13. If sinA=cosA,then find the value of sin 2A.

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  14. If sectheta=(2)/(sqrt(3)),then find the value ofsec2theta.

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  15. If "cosec"theta=2,then find the value of "cosec" 3theta

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  16. Evaluate cos45^(@)cos30^(@)+sin45^(@)sin30^(@).

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  17. Evaluate (tan60^(@)-tan30^(@))/(1+tan60^(@)tan30^(@)).

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  18. Find the value of (1-sin^(2)A)(1+tan^(2)A).

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  19. Find the value of sin^(2)theta*sec^(2)theta.

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  20. Find the value of (1-cos^(2)A)*"cosec"^(2)A.

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