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If sintheta=1/2, show that (3costheta -...

If `sintheta=1/2`, show that `(3costheta - 4cos^3theta)=0`

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RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. In a right triangle A B C , right angled at C , if tanA=1 , then...

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  2. If secalpha=5/4, evaluate (1-tanalpha)/(1+tanalpha).

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  3. If sintheta=1/2, show that (3costheta - 4cos^3theta)=0

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  4. If tanA=2 , evaluate secAsinA+tan^2A-cos e c\ A .

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  5. Given /\ A C B right angled at C in which A B=29\ u n i t s , B C=21...

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  6. If cotB=(12)/5 , prove that tan^2B-sin^2B=sin^4Bsec^2B .

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  7. If secalpha=5/4 , verify that (tanalpha)/(1+tan^2alpha)=(sinalpha)/...

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  8. If sintheta=4/5 , find the value of (4tantheta-5costheta)/(sectheta...

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  9. In a right triangle A B C right angled at B , /A C B=theta , A B...

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  10. From Fig. , write the values of: (i) sinA (ii) cotA

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  11. From Fig., write the values of: (i) tanB (ii) sin^2B+cos^2B

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  12. In /\O P Q right angled at P ,\ O P=7c m , O Q-P Q=1c m . Determine...

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  13. In DeltaP Q R ,right angled at Q, P R+Q R=25cm and P Q=5c m. Determine...

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  14. In a /\A B C , right angled at C and /A=/B , is cosA=cosB ?

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  15. In a /\A B C , right angled at C and /A=/B , is tanA=tanB ?

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  16. In /\A B C , right angled at B , if tanA=1/(sqrt(3)) , find the v...

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  17. Given that 16cotA=12 ; find the value of (sinA+cosA)/(sinA-cosA) .

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  18. If 5tanalpha=4 , show that (5sinalpha-3cosalpha)/(5sinalpha+2cosalp...

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  19. If tantheta=(12)/(13) , evaluate (2sinthetacostheta)/(cos^2theta-sin^2...

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  20. If /B and /Q are acute angles such that sinB=sinQ , then prove t...

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