Question

verify csc2(x)= csc(x)/2cos(x)

Answer 1

Take RHS

Replace csc x as 1/sin x

Answer 2

You get it in the form

1/(2*sin x*cos x)

What does that remind you of?

Answer 3

do you replace that on the right side of the equation?

Answer 4

Yes!

Answer 5

2sin x cos x= ....

Do you know the identity?

Answer 6

ok i see and 2sinxcosx is sin2x

Answer 7

its a double angle

Answer 8

Good :)

Answer 9

Now 1/sin 2x =...

Answer 10

csc2x?

Answer 11

Yep :)

Answer 12

Hence proved!

Answer 13

Thank you!

Answer 14

Yw :)

Welcome to Openstudy!