Question

Evaluate:
cos 37º.cosec53/
tan 5°.tan 25'tan 45º. tan 65°. tan 85

Answer 1

Answer:

ANSWER

(

sin47

∘

3cos43

∘

)

2

−

tan5

∘

.tan25

∘

.tan45

∘

.tan65

∘

tan85

∘

cos37

∘

.cosec53

∘

=?

=(

sin47

∘

3cos43

∘

)

2

−

tan5

∘

×tan25

∘

×tan45

∘

×tan65

∘

×tan85

∘

cos37

∘

×cosec53

∘

=(

sin47

∘

3sin47

∘

)

2

−

sin53

∘

cos37

∘

×

tan5

∘

×tan25

∘

×(1)×cot25

∘

×cot5

∘

1

=3

2

−

sin53

∘

sin53

∘

×

tan5

∘

tan5

∘

×

tan25

∘

tan25

∘

1

=9−1=8

Hence, option 'D' is correct.