Question

sin2x/tanx ??

Answer 1

2sinxcosx/tan .... what do i do after that?

Answer 2

@freckles

Answer 3

@satellite73 @bohotness

Answer 4

\(\large\color{black}{ \displaystyle \frac{\sin^2x }{\tan x} }\) like this?

Answer 5

no sin2x/tanx

Answer 6

If so, use the fact that \(\large\color{black}{ \displaystyle \tan x = \frac{\sin x }{\cos x} }\).

\(\normalsize\color{black}{ \displaystyle \frac{\sin^2x }{\tan x}~\color{blue}{\Rightarrow}~(\sin^2 x)\div(\tan x)~\color{blue}{\Rightarrow}~(\sin^2 x)\div\left(\frac{\sin x }{\cos x}\right)~\color{blue}{\Rightarrow}~(\sin^2 x)\times\left(\frac{\cos x }{\sin x} \right). }\)

Answer 7

then the sines cancel, and you are multiplying the sine function times the cosine.

Answer 8

2sinxcosx/sinx/cosx

Answer 9

oh \(\large\color{black}{ \displaystyle (\sin {\tiny ~}2x)\div(\frac{\sin x }{\cos x})}\) like this ?

Answer 10

what is the next step?

Answer 11

\(\large\color{black}{ \displaystyle\color{blue}{ (\sin {\tiny ~}2x)}=\sin(x+x)=\sin(x)\cos(x)+\sin(x)\cos(x) \\
=\color{blue}{2\sin(x)\cos(x)}}\)

Answer 12

replace the sin(2x) by the expression in terms of an angle of (a single) x.
And then simplify by canceling things out

Answer 13

2cos^2x ?

Answer 14

yup

Answer 15

well done

Answer 16

By the way, do you see me viewing the question? I don't see that, that is why I am asking you.....
(The site is really bad for me after the recent update)

Answer 17

THANK YOU SO MUCH! Can you help me with another question please?

Answer 18

Which of the following are solutions for this equation: 2cos x sin x - cos x = 0
Answers are in degrees
a)30
b)90
c) both 30 and 90
d) neither 30 nor 90

Answer 19

@freckles @Nnesha the second question ^^

Answer 20

you can factor a cos(x) from the left hand expression

Answer 21

cos(x)(2sin(x)-1)=0
set both factors equal to 0
cos(x)=0 or 2sin(x)=1

Answer 22

or if you want a cheaper less expensive way
just plug in 30 and 90 and see which work

Answer 23

the answer will be both 30 and 90.... cosx=0 is the same as cosx=90 degrees and sinx=1/2 is 30 degrees