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cos(pi/12)+sin^2((3pi)/12)+sin^2((9pi)/1...

`cos(pi/12)+sin^2((3pi)/12)+sin^2((9pi)/12)+cos((11pi)/12)=...`

A

-1

B

0

C

1

D

2

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The correct Answer is:
B
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Convert each of the following products into the sum or difference of sines and cosines (i). 2sin5xcosx(ii). 2cos4xcos3x(iii). 2sin3xsinx(iv). sin((5pi)/12).cos(pi/12)(v). cos((5pi)/12)cos(pi/12)

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Which of the following quantities are rational? (a) sin((11 pi)/(12))sin((5 pi)/(12))( b) cos ec((9 pi)/(10))sec((4 pi)/(5))(c)sin^(4)((pi)/(8))+cos^(4)((pi)/(8))(d)(1+(cos(2 pi))/(9))(1+(cos(4 pi))/(9))(1+(cos(8 pi))/(9))

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE-MCQs
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  2. cot(pi/20).cot((3pi)/20)cot((5pi)/20)cot((7pi)/20)cot((9pi)/20)=....

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  3. cos(pi/12)+sin^2((3pi)/12)+sin^2((9pi)/12)+cos((11pi)/12)=...

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  4. Statement I : sin^2pi/8+sin^2(3pi)/8+sin^2(5pi)/8+sin^2(7pi)/8=2 State...

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  7. If costheta=3//7,and theta lies in the fourth quadrant, evaluate : sin...

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  10. cos 20^@.cos 40^@.cos 60^@ cos 80^@=

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  16. If sinalpha+cosalpha=(1)/(5), find tan((alpha)/(2)).

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  17. If alphaandbeta are two angles in the first quadrant such that sin(alp...

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  18. sqrt(3)cossec2 0^0-sec2 0^0

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  19. The value of tan6^0tan42^0tan66^0tan78^0 is 1 (b) 1/2 (c) 1/4 (d)...

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  20. Statement I : sin^2pi/8+sin^2(3pi)/8+sin^2(5pi)/8+sin^2(7pi)/8=2 State...

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