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If theta is a positive acute angle su...

If `theta` is a positive acute angle such that `sectheta=cos e c\ 60o` , find the value of `2cos^2theta-1` .

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. If A, B and C are interior angles of a triangle ABC, then show that "s...

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  2. If 2theta+45o and 30o-theta are acute angles, find the degree measu...

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  3. If theta is a positive acute angle such that sectheta=cos e c\ 60o ...

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  4. If cos2theta=sin4theta , where 2theta and 4theta are acute angles, ...

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  5. If sin3theta=cos(theta-6^0), where (3theta)a n d(theta-6^0) are both...

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  6. If s e c4A=cos e c(A-20^@) , where 4A is an acute angle, find the ...

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  7. Write the maximum and minimum values of sintheta .

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  8. Write the maximum and minimum values of costheta .

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  9. What is the maximum value of 1/(sectheta) ?

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  10. What is the maximum value of 1/(cos ec \ theta)?

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  11. If tantheta=4/5, find the value of (costheta-sintheta)/(costheta+sinth...

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  12. If costheta=2/3, find the value of (sectheta-1)/(sectheta+1) .

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  13. If 3cottheta=4,find the value of (4costheta-sintheta)/(2costheta+sinth...

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  14. Given tantheta=1/(sqrt(5)), what is the value of (cos e c^2theta-sec^2...

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  15. If cottheta=1/(sqrt(3)) , show that (1-cos^2theta)/(2-sin^2theta)=3...

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  16. If tanA=3/4 and A+B=90^@, then what is the value of cotB ?

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  17. If A+B=90^@ and cosB=3/5 , what is the value of sinA ?

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  18. Write the acute angle theta satisfying sqrt(3)sintheta=costheta .

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  19. Write the value of tan10^@tan15^@tan75^@tan80^@ .

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  20. If tanA=3/4 and A+B=90^@, then what is the value of cotB ?

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