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Q.

sinθ=0.5, then  cosθ.tanθ.secθ.cscθ.cotθ=

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a

2

b

23

c

4

d

32

answer is C.

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Detailed Solution

cosθ.tanθ.secθ.cscθ.cotθ=(cosθ×secθ)(tanθ×cotθ)cscθ

=1sinθ=10.5=2

                                            (OR)

Given sinθ=0.5

sinθ=12

=sideopptoθHypotenuse=12

Question Image

 

 

 

 

PQPR=12

In right angled triangle PQR,Q=90°

PR2=PQ2+QR2

(2)2=(1)2+QR2

41=QR2

3=QR2

QR=3

ΔPQR

cosθ=32,tanθ=13,secθ=23,cosecθ=21andcotθ=3

cosθ.tanθ.secθ.cosecθ.cotθ

=32×13×23×2×3

=2

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