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Prove that (cos9^(@)+sin9^(@))/(cos9^(@)...

Prove that `(cos9^(@)+sin9^(@))/(cos9^(@)-sin9^(@))=cot36^(@)`

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cos 9^(@) - sin 9^(@)=

(sin9^(@)-cos9^(@))/(sin48^(@)sin 12^(@))=

A=(cos9^(@)-sin9^(@))/(cos9^(@)+sin 9^(@)), B=(cos21^(@)+sin21^(@))/(cos21^(@)-sin21^(@)) and C=tan 20^(@)+tan 40^(@)+sqrt(3)tan20^(@)tan40^(@) then descending order is

sin21^(@)cos9^(@)-cos84^(@) cos6^(@)=

A =(cos 9^(@) - sin 9^(@))/(cos 9^(@) + sin 9^(@)) , B = (cos 21^(@) + sin 21^(@))/(cos21^(@) -sin21^(@)) and C= tan 20^(@) + tan40^(@) + sqrt(3)tan20^(@) tan40^(@) then descending order is:

Prove that sin21^(@)cos9^(@)-cos84^(@)cos6^(@)=1/4 .

sin 21^(@) cos 9^(@) - cos 84^(@) cos 6^(@)=

int(1)/(4cos^(2)x+9 sin^(2)x)dx=

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)
  1. Prove that tan 50^(@) -tan40^(@)-2tan10^(@).

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  2. Show that cos 42^(@) + cos 78^(@) + cos 162^(@) = 0

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  3. Prove that (cos9^(@)+sin9^(@))/(cos9^(@)-sin9^(@))=cot36^(@)

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  4. Find the period of f(x)=cos ((4x+9)/(5))

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  5. Find the value of cos^(2)52(1^@)/(2) - sin^(2)22 (1^@)/2

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  6. Find the period of tan(x+4x+9x+.......+n^2x) (n any positive integer)

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  7. Find a cosine function whose period is 7.

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  8. Find a sine function whose period is 2//3.

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  9. Find the maximum and minimum value of f(x) = 5sinx + 12cos x -13.

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  10. Show that cot.(pi)/(20). cot .(3pi)/(20). cot.(5pi)/(20). cot .(7pi)...

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  11. Find the value of sin^(2)""(pi)/(10)+sin^(2)""(4pi)/(10)+sin^(2)""(6pi...

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  12. Show that cos^(2)""(pi)/(10)+cos^(2)""(4pi)/(10)+cos^(2)""(6pi)/10+cos...

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  13. Evaluate cos^(2)45^(@)+cos^(2)135^(@)+cos^(2)225^(@)+cos^(2)315^(@).

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  14. If tan20^(@) = lambda then show that (tan 160^(@) -tan 110^(@))/(1+tan...

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  15. If tan20^(@)=p then prove that = (tan610^(@)+tan700^(@))/(tan 560^(@)-...

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  16. If "sec" theta + tan theta = 2//3, then find the value of sin theta an...

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  17. If "sec" theta + tan theta = 5 then find sin theta and determine the q...

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  18. If cosec theta + cot theta =1//3, then find cos theta and determine th...

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  19. If acos theta -bsin theta =c, then show that asine theta + bcos =pm s...

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  20. If 3sin A + 5 cos A = 5, then show that 5 sin A - 3 cos A = +- 3.

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