Question

simplify the expression (trig functions)

Answer 1

\[f(\theta)=\frac{ 2\sin 4\theta }{ \cos 2\theta }-3\sin2\theta \]

Answer 2

you know the formula for sin 2x ?

aplly it for sin 4theta

Answer 3

no. i don't. what is it?

Answer 4

these are my answer choices:
1. f(θ) = sin2θ
2. f(θ) = 2cos2θ+3sin2θ
3. f(θ) = 7sin2θ
4. f(θ) = 5sin2θ
5. f(θ) = −sin2θ
6. f(θ) = 2cos2θ−3sin2θ

Answer 5

sin 2x = 2 sin x cos x

so, sin 4thetha = sin 2 (2theta) = .... ?

Answer 6

confused ?

Answer 7

cos2(theta)

Answer 8

whats cos 2 theta ?

could you apply the formula in
sin 4theta ?

Answer 9

is it 2cos2θ−3sin2θ ??

Answer 10

nopes,

sin x = 2 sin x cos x

so, sin 4theta = sin 2(2theta) = 2 sin (2theta) cos(2theta)
makes sense ?

Answer 11

okayyy.

Answer 12

now what gets cancelled out ?

Answer 13

cos2(theta)

Answer 14

correct :)
what remains ?

Answer 15

2sin(2theta)-3sin(2theta)

Answer 16

but that's not any of my answer choices :/

Answer 17

oh, i think you forgot a 2

2 (2 sin theta)-3 sin theta

Answer 18

@hartnn wait..I don't know which answer it is!

Answer 19

you found out that you forgot a 2 there ?

2 (2 sin 2theta)-3 sin 2theta
= (4-3) sin 2theta

Answer 20

got that ?
next step can't be easier...

Answer 21

sin2theta. yeah you were pretty clear. thanks

Answer 22

Goku?

Answer 23

welcome ^_^
yes, slamma?

Answer 24

Can you blow up Earth?

Answer 25

umm..yeah, it would take me few seconds though...

Answer 26

You need Vegeta to turn into ssj4, I am the Omega Shenron. UMADBRO?!

Answer 27

oh, not mad at all, good for you!