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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

AAKASH SERIES-TRIGONOMERTIC RATIOS-EXERCISE - 1.1 (VERY SHORT ANSWER QUESTIONS)
  1. Find the value of sin ( - 405^(@))

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  2. Find the value of cos ( - (7pi)/(2))

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  3. Find the value of sec(2100^@)

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  4. Find the value of cot(-315^(@))

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  5. Find the value of sin 330^(@) .cos 120^(@) + cos 210^(@) . Sin 300^(@)...

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  6. Prove that sin 780^(@) sin 480^(@)+cos240^(@). Cos300^(@) = 1/2

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  7. IF sin theta=4/5 and theta is not in the first quadrant, find the valu...

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  8. IF sintheta=-1/3 and theta does not lie in the 3^(rd) quadrant, find t...

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  9. (iii) If 3 sin alpha + 5 cos alpha = 5 then show that 5 sin alpha - 3 ...

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  10. (iv) If cos theta = k, 0 lt k lt 1 and 'theta' is not an angle in the ...

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  11. If tan^(2)theta = (1-e^2) show that sec theta + tan^(3). "cosec" theta...

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  12. If 8 tan A = -15 and 25 sin B = -7 and neither A nor B is in the four...

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  13. If alpha , beta are complementry angles such that bsin alpha = a, the ...

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  14. If cos A = cos B = -1/2 and A does not lie in the second quadrant and ...

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  15. If ABCD is a cyclic quadrilateral then show that i) cos A + cos B ...

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  16. Prove that (tan theta + cot theta)^(2) = "sec"^(2) theta + "cosec"^(2)...

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

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

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

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  20. Prove that (tan theta + cot theta)^(2) = "sec"^(2) theta + "cosec"^(2)...

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