Math, asked by Sudeepbro, 8 months ago

V3 cosec 20° - sec 20° ​

Answers

Answered by tiger12701
3

Answer:

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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 scs830307
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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