precalculus
posted by john 2020 .
find the exact value:
cos^1 (square root of 2 divided by 2)

draw a 45 45 90 triangle with equal legs = 1
hypotenuse^2 = 1^2+1^2
h^2 = 2
h = sqrt 2
then cos 45 = 1/sqrt2 = sqrt 2/2
Respond to this Question
Similar Questions

Trig functions and such
1)Find the exact value of cot(315) A)1 B)square root of 2 C)square root of 2 over 2 D)2 I chose C 2)Find the exact value of sin(pi/6) A)1/2 B)square root of 3/2 C)square root of 2/2 D)square root of 2/2 I chose A 3)In triangle … 
Precalculus
PLEASE HELP ME WITH THESE QUESTION AS MUCH AS POSSIBLE!! Evaluate without a calculator. Give exact answers: a) log(log(10)) = ? 
Math
Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. The square root of 3y^4 to the third root divided by the square root of 15x^4 to the third root. Here is what I have so far: I multiplied. … 
Algebra II
Multiple Choice (theta) means the symbol 0 with the dash in it. 1.)Which expression is equivalent to tan(theta)(sec(theta))/(sin(theta))? 
Precalculus
Find the exact value of sin 15°. I got square root of 2squaroot of 3/2 is that correct? 
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 … 
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 … 
precalculus
find all solutions of each equations a) cos2x=square root of 3/2 b)cos 2theta/3 =1 c) cot 3 theta /2 = square root of 3 d) sin (2xpie/4) = square root of 2/2 
triganamatry
how do you find the exact value of sin^1(square root of 3 divided by 2) 
Precalculus
I am trying to submit this homework in but i guess i'm not doing it in exact values because it is not accepting it. I know i'm supposed to be using half angle formulas but maybe the quadrants are messing me up. Please help! Find sin …