Question

Find the value of root 3Cosec20°- sec20°​

Answer 1

Answer:

Correct option is D)

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