Q.

The value of cosec10° + cosec 50° - cosec 70° is

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a

5

b

2

c

1

d

6

answer is D.

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Detailed Solution

1sin10°+1sin50°−1sin70° =1cos80°+1cos40°−1cos20° cos40°cos20°+cos80°cos20°−cos40°cos80°cos20°.cos40°.cos80° =8[cos20°(cos40°+cos80°)−cos40°cos80°] =8[2cos20°cos60°cos20°−cos40°cos80°] =4[2cos220°−2cos40°cos80°] =4[1+cos40°−(cos120°+cos40°)] =4.32=6
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