V3 cosec 20° - sec 20°
Answers
Answered by
3
Answer:
PLEASE MARK ME THE BRAINLIEST.
Step-by-step explanation:
√3 cosec 20° - sec 20°
= √3/ sin 20° - 1/ cos 20°
= √3cos 20° - sin 20°/ sin 20° cos 20°
= 4 [√3/2 cos 20° - 1/2 sin 20° / 2 sin 20° cos 20°]
= 4 [ sin 60° cos 20° - cos 60° sin 20°/ sin 40°] -- ( 2 sin A cos A = sin 2A)
Using identity sin ( A - B ) = sin A cos B - cos A sin B
= 4 sin (60° - 20°) / sin 40°
= 4 sin 40°/ sin 40°
= 4
Required Answer is 4
Hope This Helps You!
Answered by
0
Answer:
4
Step-by-step explanation:
Given expression is
sin20
∘
3
−
cos20
∘
1
=2(
sin20
∘
3
/2
−
cos20
∘
1/2
)
=2(
sin20
∘
sin60
∘
−
cos20
∘
cos60
∘
)
=2(
sin20
∘
cos20
∘
sin60
∘
cos20
∘
−cos60
∘
sin20
∘
)
=2(
sin20
∘
cos20
∘
sin(60
∘
−20
∘
)
)
=2
sin20
∘
cos20
∘
sin40
∘
=2×
sin20
∘
cos20
∘
2sin20
∘
cos20
∘
=4
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