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If sintheta+costheta=sqrt(2)sin(90o-thet...

If `sintheta+costheta=sqrt(2)sin(90o-theta)` , determine `cottheta` .

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RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. If tantheta=3/4 , find the value of (1-costheta)/(1+costheta) .

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  2. If costheta=3/5 , find the value of cottheta+cos e c\ theta .

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  3. If sintheta+costheta=sqrt(2)sin(90o-theta) , determine cottheta .

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  4. If tantheta=1/(sqrt(7)) , find the value of (cos e c^2theta-sec^2th...

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  5. If tantheta+cottheta=2 , find the value of tan^2theta+cot^2theta .

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  6. If cos e c\ A=sqrt(2) , find the value of (2sin^2A+3cot^2A)/(4tan^2...

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  7. If sintheta=a/(sqrt(a^2+b^2)),\ 0<theta<90o , find the values of co...

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  8. If costheta=4/5 , find all other trigonometric ratios of angle thet...

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  9. If sintheta=1/(sqrt(2)) , find all other trigonometric ratios of an...

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  10. If tantheta=1/(sqrt(2)) , find the value of (cos e c^2theta-sec^2th...

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  11. If tantheta=3/4 , find the value of (1-costheta)/(1+costheta)

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  12. If tantheta=(12)/5 , find the value of (1+sintheta)/(1-sintheta)

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  13. If cottheta=1/(sqrt(3)) , find the value of (1-cos^2theta)/(2-sin^2...

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  14. If cos e c\ A=sqrt(2) , find the value of (2sin^2A+3cot^2A)/(4(tan^...

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  15. If cottheta=sqrt(3) , find the value of (cos e c^2theta+cot^2theta)...

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  16. If 3costheta=1 , find the value of (6sin^2theta+tan^2theta)/(4costh...

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  17. If sqrt(3) tantheta=3sintheta, " prove that " (sin^(2)theta-cos^(2)the...

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  18. If cos e c\ theta=(13)/(12) , find the value of (2sintheta-3\ cos\ ...

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  19. If sintheta+costheta=sqrt(2)cos(90o-theta) , find cottheta .

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  20. Define an identity.

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