Question

help please


f (theta) =sin(theta) and g (theta)= cos(theta).find the exact value of each function below if theta =60 degrees
a)f(theta)
b) g (theta/2)
c f(2 theata)
d g(2 theta)
e) {f(theta)}^2
f) (-theta)
g)(-theta)

Answer 1

@mathmale

Answer 2

Where is the function that you're supposed to evaluate?

Answer 3

sorry forgot to post them

Answer 4

Bet you can do this one: a) f(theta) Give it a try, please. Hint: How is f(theta) defined? Hint #2: what is the value of theta?

Answer 5

the value of theta is 60 so f(theta) is f(60)?????

Answer 6

Yes, and how is f(theta) defined? Take a look at the problem statement.

Answer 7

sin (60) so i use my trig table???

Answer 8

Yes, indeed.

Answer 9

which is squareroot 3/2

Answer 10

Yes. Fine.
I will not be able to stay on OpenStudy long enough to guide you through all of those problems. But for now, pick one or two of the harder ones and we'll work on them.

Answer 11

ok can we do e

Answer 12

e)
{f(theta)}^2
1. What is the value of f(theta)?

Answer 13

squareroot 3/2

Answer 14

Hint: Please write that as (Sqrt(3) /2 or as

Sqrt(3)
------
2

for greater clarity.

Fine. That is f(theta).

Now what's the square of f(theta)? It's the same as the square of \[\frac{ \sqrt{3} }{ 2 }\]

Answer 15

3/2

Answer 16

Check your denominator.

Answer 17

3/4

Answer 18

\[(\frac{ \sqrt{3} }{ 2 })^2=?\]

Answer 19

that's better.

One more problem?

Answer 20

what?:????

Answer 21

I was offering to help you with one more problem, if you wish.

Answer 22

ohh lol c

Answer 23

(c) f(2 theata)

How is f(theta) defined? Write it out.

Answer 24

squareroot 3/2

Answer 25

No...I was asking for the DEFINITION of f(theta), not the value of f at some angle.

Answer 26

ohhh 60

Answer 27

Hint: g(theta) is defined as cos theta.

f(theta) is defined as ... ?

Answer 28

sin theta

Answer 29

Yes, and so sin (1*theta) = what, when theta = 60 degrees?

Answer 30

sin (1*theta) = sin (1*60 deg) = sin (60 deg) = ?

Answer 31

squareroot 3/2

Answer 32

Right. Now, what about sin (2*theta) = sin (2*60 deg) = sin ( ? ) = ?

Answer 33

120

Answer 34

True, 2*60 deg = 120 deg, but I've asked you for sin (2*60 deg) = sin ( ? ) = ??

Answer 35

i have to go thanks

Answer 36

You're welcome. Plesae come bak and finish this problem; that's important.

Answer 37

@TwoPointInfinity