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S.Tcot.(pi)/(16).cot.(2pi)/(16).cot.(3pi...

S.T`cot.(pi)/(16).cot.(2pi)/(16).cot.(3pi)/(16).....cot.(7pi)/(16)=1`

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Show that cot.(pi)/(20). cot .(3pi)/(20). cot.(5pi)/(20). cot .(7pi)/(20). cot.(9pi)/(20)=1

If A is not an integral multiple of (pi) , prove that cos A cos 2A cos 4A cos 8A =(sin 16A)/(16 sin A) Hence deduce that cos. (2pi)/(15). Cos. (4pi)/(15) .cos. (8pi)/(18). Cos. (16pi)/(15)=(1)/(16)

cot. (pi)/(20) cot. (3pi)/(20) cot. (5pi)/(20) cot. (7pi)/(20) cot. (9pi)/(20) cot. (15pi)/(20)=

cos""(2pi)/(15) cos ""(4pi)/(15)""cos(8pi)/(15) cos""(16pi)/(15)=

cos. (3pi)/(19) + cos . (7pi)/(19) + cos. (12pi)/(19) + cos. (16pi)/(19) =

The value of "cot"(7pi)/(16)+"2 cot"(3pi)/(8)+"cot"(15pi)/(16) is

cot((pi)/4-2cot^(-1)3)=

cot (- (15pi)/(4))

Prove that (1+cos""pi/10)(1+cos""(3pi)/10)(1+cos""(7pi)/10)(1+cos""(9pi)/10)=1/16

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)
  1. IF sintheta=-1/3 and theta does not lie in the 3^(rd) quadrant, find t...

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  2. If sin alpha + "cosec" alpha = 2, find value of sin^(n) alpha + "cosec...

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  3. S.Tcot.(pi)/(16).cot.(2pi)/(16).cot.(3pi)/(16).....cot.(7pi)/(16)=1

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  4. If cos theta + sin theta = sqrt(2) cos theta then S.T cos theta - sin ...

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  5. Show that cos 340^(@) cos 40^(@)+sin 200^(@) sin 140^(@) = 1/2.

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  6. Find the value of tan 100^(@)+tan125^(@)+tan 100^(@). Tan 125^(@).

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  7. Find the value of tan 10^(@) + tan 35^(@) + tan 10^(@) . tan 35^(@)

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  8. Prove that tan 50^(@) -tan40^(@)-2tan10^(@).

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

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

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

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

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

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  14. Find a cosine function whose period is 7.

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

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

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

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

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

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

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