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If secA=5/4 , verify that (3sinA-4sin...

If `secA=5/4` , verify that `(3sinA-4sin^3A)/(4cos^3A-3cosA)=(3tanA-tan^3A)/(1-3tan^2A)`

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RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. If costheta=3/5, find the value of (sintheta-1/tantheta)/(2tantheta)

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  2. If sintheta=3/5 , evaluate (costheta-1/(tantheta))/(2cottheta)

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  3. If secA=5/4 , verify that (3sinA-4sin^3A)/(4cos^3A-3cosA)=(3tanA-ta...

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  4. If sintheta=3/4 , prove that sqrt((cos e c^2theta-cot^2theta)/(sec^...

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  5. If secA=(17)/8 , verify that (3-4sin^2A)/(4cos^2A-3)=(3-tan^2A)/(1-...

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  6. If cottheta=3/4 , prove that sqrt((sectheta-cos e c\ theta)/(secthe...

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  7. If tantheta=(24)/7 , find that sintheta+costheta

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  8. If sintheta=a/b , find sectheta+tantheta in terms of a and b .

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  9. If 8tanA=15 , find sinA-cosA

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  10. If 3costheta-4sintheta=2costheta+sintheta , find tantheta .

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  11. If tantheta=(20)/(21) , show that (1-sintheta+costheta)/(1+sintheta...

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  12. If cos e c\ A=2 , find the value of 1/(tanA)+(sinA)/(1+cosA)

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  13. If /A and /B are acute angles such that cos A=cos B . then show tha...

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  14. If angleA and angleP are acute angle such that tanA=tanP, then show th...

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  15. In a /\A B C , right angled at A , if tanC=sqrt(3) , find the valu...

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  16. State whether the following are true or false. Justify your answer. ...

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  17. State whether the following are true or false. Justify your answer. ...

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  18. Evaluate each of the following in the simplest form: sin60ocos30o+c...

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  19. Evaluate the following expressions: 2sin^2 30otan60o-3cos^2 60osec^...

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  20. Evaluate the following expressions: 4cot^2 45o-sec^2 60o+sin^2 60o+...

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