Question

Simplify the trigonometric expression

Answer 1

@EllenJaz17 what is the expression

Answer 2

\[\frac{ \sin ^{2} }{ 1-}\]

Answer 3

its supposed to be sin^2theta/1-cos theta

Answer 4

the answer is 1

Answer 5

correct @EllenJaz17

Answer 6

\[\frac{ \sin ^{2}\theta }{1-cos }\]

Answer 7

and theta is after the cos.

Answer 8

\[\mathrm{Use\:the\:following\:identity}:\quad \:1=\cos ^2\left(x\right)+\sin ^2\left(x\right)\]
\[=\frac{\sin ^2\left(θ\right)}{\cos ^2\left(θ\right)-\cos ^2\left(θ\right)+\sin ^2\left(θ\right)}\]
\[\frac{\sin ^2\left(θ\right)}{-\cos ^2\left(θ\right)+\cos ^2\left(θ\right)+\sin ^2\left(θ\right)}\]
\[\mathrm{Add\:similar\:elements:}\:-\cos ^2\left(θ\right)+\cos ^2\left(θ\right)=0\]
\[=\frac{\sin ^2\left(θ\right)}{\sin ^2\left(θ\right)+0}\]
\[=\frac{\sin ^2\left(θ\right)}{\sin ^2\left(θ\right)}\]
=1

Answer 9

this is the 1 problem

Answer 10

Those are my answer options

Answer 11

ohhhhhh you needed just answer @EllenJaz17

Answer 12

yeah. Those are my options A-D in the attachments

Answer 13

Would the answer be C?

Answer 14

@DecentNabeel

Answer 15

HI!!

Answer 16

hey

Answer 17

is it just
\[\huge \frac{1-\sin(x)}{\cos(x)}\]

Answer 18

So it's b?

Answer 19

no i am still trying to figure out what the original question one

Answer 20

was

Answer 21

Simplify it

Answer 22

can you repost the original one

Answer 23

\[\mathrm{Simplify}\:\frac{1-\sin \left(θ\right)}{\cos \left(θ\right)}:\quad \left(1-\sin \left(θ\right)\right)\sec \left(θ\right)\]

Answer 24

\[\huge \frac{\sin^2(\theta)}{1-\cos(\theta)}\]

Answer 25

we can do a couple things if that is the original question

Answer 26

Simplify the trigonometric expression (is the question)

Answer 27

perhaps the easiest it to rewrite \(\sin^2(\theta)\) as \(1-\cos^2(\theta)\) then factor

Answer 28

Use the identity sin^2 = 1-cos^2. Then factor it into (1+cos)(1-cos). Then cancel

Answer 29

\[\frac{\sin^2(\theta)}{1-\cos(\theta)}=\frac{1-\cos^2(\theta)}{1-\cos(\theta)}=\frac{(1+\cos(\theta))(1-\cos(\theta))}{1-\cos(\theta)}=1+\cos(\theta)\]

Answer 30

Is that the final answer?

Answer 31

not sure if that is an answer choice, but if it is, pick that one

Answer 32

It is! Thank you!

Answer 33

\[\color\magenta\heartsuit\]