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Prove that: tan20otan35otan45otan55ot...

Prove that: `tan20otan35otan45otan55otan70o=1`

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Prove that tan70=2tan50+tan20

Without using trigonometric tables , prove that : (i) tan20^(@)tan40^(@) tan45^(@)tan50^(@)tan70^(@)=1 (ii) tan1^(@) tan2^(@)tan60^(@)tan88^(@)tan89^(@)=sqrt(3) (iii) cot5^(@)cot10^(@)cot30^(@)cot80^(@)cot85^(@)=sqrt(3) (iv) 4sin10^(@)sin20^(@)sin30^(@)sec70^(@)sec80^(@)=2

Prove that: tan20^(@)tan30^(@)tan40^(@)tan80^(@)=1

Write the value of tan10otan15otan75otan80o .

Prove that (tan25^(@)-tan35^(@)+tan85^(@))/(tan25^(@)tan35^(@)tan85^(@))=3

Prove that: tan70^(@)=tan20^(@)+2tan50^(@)

Prove that tan70^(@)=2tan50^(@)+tan20^(@)

prove that- (1+tanx)/(1-tanx)=tan(45+x)

The value of tan10otan15otan75otan80o is -1 (b) 0 (c) 1 (d) None of these

Prove that: tan10^(@) tan20^(@)tan70^(@)tan80^(@)=1

RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. If sin3A=cos(A-26^@) , where 3A is an acute angle, find the val...

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  2. If A ,\ B ,\ C are the interior angles of a triangle A B C , prove ...

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  3. Prove that: tan20otan35otan45otan55otan70o=1

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  4. Prove that: sin48osec42o+cos48o\ cos e c\ 42o=2

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  5. Prove that: (sin70o)/(cos20o)+(cos e c\ 20o)/(sec70o)-2cos70o\ cos ...

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

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  7. If sintheta=cos(theta-45o) , where theta and theta-45o are acute an...

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

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

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

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

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

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

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  14. Write the maximum and minimum values of sintheta .

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  15. Write the maximum and minimum values of costheta .

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

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

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

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

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

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