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Prove that: (sin70^@)/(cos20^@)+(cos e...

Prove that: `(sin70^@)/(cos20^@)+(cos e c\ 20^@)/(sec70^@)-2cos70^@\ cos e c\ 20^@=0`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. Prove that: tan20^@tan35^@tan45^@tan55^@tan70^@=1

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  2. Prove that: sin48^@sec42^@+cos48^@\ cos e c\ 42^@=2

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  3. Prove that: (sin70^@)/(cos20^@)+(cos e c\ 20^@)/(sec70^@)-2cos70^@\ ...

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  4. Prove that: (cos80^@)/(sin10^@)+cos59^@\ cosec\ 31^@=2

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  5. If sintheta=cos(theta-45^@) , where theta and theta-45^@ are acute a...

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  6. If A, B and C are interior angles of a triangle ABC, then show that "s...

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

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

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

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

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

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  12. Write the maximum and minimum values of sintheta .

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  13. Write the maximum and minimum values of costheta .

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

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

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

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

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

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

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

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