# trig/pre -calc

posted by .

hello, i don't quite understand how to do this type of problem:

1. find the exact value of sin (pi/3).

even more confusing is

2. find the exact value of csc^-1 (1).

i would appreciate any kind of help! thank you!

• trig/pre -calc -

I normally like to replace pi with 180.
So...
sin(pi/3)
= sin(180/3)
= sin(60)
What is sin(60)? sqrt(3)/2

As for csc^-1(1), I like to think of this as its inverse, 1/sin^-1(1). Where in the unit circle is sin=1? That is, where is y=1? 90 degrees

• trig/pre -calc -

Since they seem to want angles to be expressed in radians, it might be better to give pi/2 as the answer to csc^-1(1) . 90 degrees is also correct, of course.

## Similar Questions

If cos theta = 0.8 and 270<theta<360, find the exact value of sin 2theta a) -0.96 b) -0.6 c) 0.96 d) 0.28 Answer: b 2) If csc theta = -5/3, and theta has its terminal side in Quadrant III, find the exact value of tan 2theta a)24/25 …
2. ### Alg2/Trig

Find the exact value of the trigonometric function given that sin u = 5/13 and cos v = -3/5. (Both u and v are in Quadrant II.) Find csc(u-v). First of all, I drew the triangles of u and v. Also, I know the formula of sin(u-v) is sin …
3. ### Trig

1. Establish the identity: sin(theta+3pi/2)=-cos(theta) 2. Find the exact value of 2(theta) if sin(theta)=5/13 3. Show that: csc2(theta)-cot2(theta)=tan(theta) 4. Find the exact value of tan(cos^-1(square root of 3/2) 5. Approximate …
4. ### pre calc

My teacher asked for the EXACT VALUES of sin(pi/6) cos(pi/4) csc(pi/3) I have to figure it out without a calculator?
5. ### Pre-Calc

find the exact value of sin(-15pi/6) and cot(-7pi/6)
6. ### Math- Trig

1. Determine the exact value of cos^-1 (pi/2). Give number and explanaton. 2. Determine the exact value of tan^-1(sq. root 3). with explanation. 3. Determine exact value of cos(cos^-1(19 pi)). with explanation. 4. Determine the exact …
7. ### Pre-Calc : Find the Exact Value of the Expression

Find the exact value of the expression without a calculator: sin(3π/4+5π/6) I've done: sin(9π/12 + 10π/12) =sin(19π/12) What do I do now?
8. ### Trig hep, please? Thank you!

1. Find the exact value of sin(195(degrees)) 2. If cot2(delta)=5/12 with 0(<or =)2(delta)pi, find cos(delta), sin(delta) , tan(delta). 3.find the exact value of sin2(x) if cos(x)= 4/5. (X is in quadrant 1) 4. Find the exact value …