Question

Given:
4 sin theta = 3 cos theta
Find
1.sin theta
2.cos theta
3.cot^2 theta - cosec^2 theta
4. 4 cos^2 - 3 sin^2 + 2

@ParthKohli

Answer 1

@robtobey

Answer 2

@robtobey
@ParthKohli
@eta

Answer 3

Obtain the value of tan(theta) by dividing both sides by cos(theta).
Then construct a triangle and find the values of sin(theta), cos(theta), cot(theta) and cosec(theta).

Answer 4

So what
4 tan (theta) = 2(theta)
@ParthKohli

Answer 5

Huh...

Answer 6

?

Answer 7

sorry
4 tan (theta) = 3(theta)
@ParthKohli

Answer 8

No... show your work.

Answer 9

sin/cos = tan
cos/cos = 1
so
4 sin/cos = 2 cos/cos

Answer 10

ugh
4 sin/cos = 3 cos/cos

Answer 11

2 sin theta = 3 cos theta

how did you get the 4?

Answer 12

My keyboard is lagging its suppose to be
4 sin theta and not 2
sorry for the error.

Answer 13

So what next @ParthKohli

Answer 14

@ParthKohli

Answer 15

@ParthKohli
@robtobey

Answer 16

@ribhu

Answer 17

Oh, OK. That makes things simpler.

Answer 18

Use the identity \(\sin\theta/\cos \theta = \tan \theta.\)

Answer 19

I did and I got
tan = 3/4

Answer 20

@ParthKohli

Answer 21

Now make a triangle with opposite = 3 units and adjacent = 4 units.

Answer 22

Sorry but it's 4 sin theta and not two

Answer 23

@ParthKohli

Answer 24

@ParthKohli

Answer 25

@ribhu

Answer 26

@ParthKohli

Answer 27

sin = 3/5

cos = 4/5

right?

Answer 28

well done

Answer 29

Now?

Answer 30

3.cot^2 theta - cosec^2 theta

Answer 31

@ParthKohli

Answer 32

Just plug in all values for the expressions.

Answer 33

\(\cot\theta = 1/\tan \theta\), \(\csc\theta = 1/\sin\theta.\)

Answer 34

tan is 3/4??

Answer 35

or 4/3???

Answer 36

@ParthKohli

Answer 37

3/4.

Answer 38

so cot is 4/3??

Answer 39

Correct.

Answer 40

cos = 5/3??

Answer 41

How can cosine exceed 1?

Answer 42

?

Answer 43

What?

Answer 44

I used the expression you have me.

Answer 45

Then you mean cosec theta = 5/3, not cos theta.

Answer 46

Sorry my keyboard is lagging .
Help me more @ParthKohli ??

Answer 47

4. 4 cos^2 - 3 sin^2 + 2??
@ParthKohli

Answer 48

Plug in the values of cos theta and sin theta into the expression.

Answer 49

@ParthKohli

Answer 50

You've tagged me 16 times...

Answer 51

Plug in the values of sin theta and cos theta into the expression

Answer 52

35/25??

Answer 53

@poopsiedoodle
.....