Question

how do I prove 2tanx/sinx=cscxtanx+secx

Answer 1

tan(x)/sin(x)= sec(x)

Answer 2

so this is 2 sec(x)

Answer 3

so we have to prove csc x tan(x) = sec(x)

1/sin(x) * sin(x)/cos(x)= 1/cos(x)= sec(x)

Answer 4

How did you get tan(x)/sin(x)= sec(x)

Answer 5

tan(x)= sin(x)/cos x

sin x / cos x * 1/ sin(x)

sin(x) cancels , leaving 1/cos x = sec x

Answer 6

oh ok

Answer 7

oh I see the answer. thank you.

Answer 8

wait, wouldn't sinx / cos x be multipy by sinx not 1/sinx

Answer 9

why

Answer 10

because the sinx is on the denominator and when you do the reciprocial 1/sinx it's sinx

Answer 11

because the sinx is on the denominator and when you do the it is reciprocial 1/sinx


fixed

Answer 12

fixed? what?

Answer 13

divide is same as multiplication by it reciprocal

so we dividing by sin(x)

that's same as multiplying by


1/sin x

Answer 14

oh ok. I understand

Answer 15

thanks for your help.

Answer 16

you are welcome