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Q.

If A is in the third quadrant and tan A=73, then 18-16sin2A2-32sinA2sin5A2=

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a

11

b

10

c

-6

d

5

answer is B.

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Detailed Solution

tan A=73, AQ3 cosA=-34 18-16sin2A2-32sinA2sin5A2 =18-8(1-cosA)-16(cos2A-cos3A) =10+8cosA-16(2cos2A-1)+16(4cos3A-3cosA) =10-6-18+16-27+36 =11

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