SOLUTION: Hi, if theta is an acute angle and sin theta =1/2, then cos theta= I have drawn a right triangle with the hypotenus on the right. It has a one on the bottom and a two on the hyp

Question 165593: Hi, if theta is an acute angle and sin theta =1/2, then cos theta=
I have drawn a right triangle with the hypotenus on the right. It has a one on the bottom and a two on the hypotenuse. Then I tried 1^2+b^2=2^2 and ended up with square root of b^2 =square root of 3. I do not know where to go from there

Thankyou.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You have done ok so far!
In your triangle, you have , , and .
To see how we get b, you have:
Take the square root of both sides.

The sin of theta (I'll call it A because I can't do a theta symbol) is given as because the sine of the angle is the side opposite the angle (a = 1) over the hypotenuse (c = 2), so you get
The cosine of this angle (A) is the side adjacent to the angle ( over the hypotenuse (c = 2), so...

RELATED QUESTIONS
if theta is an acute angle and sin theta is 1/2, the value of cos (pie/2+theta) is (answered by Alan3354)

if cos theta=0.6,find sin theta and tan theta, by considering a right angled triangle... (answered by Alan3354)

If theta is an acute angle and sin theta =cos theta, find 2Tan square theta + sin square... (answered by lwsshak3)

if theta is an acute angle and cos theta = 1/2, find sin theta and tan... (answered by lwsshak3)

If sin theta=3/4 and theta is an acute angle, what is the value of (tan theta)(cos... (answered by stanbon)

Can you please help me the problem is: if theta is a positive acute angle and sin2theta=... (answered by jsmallt9)

Hello! The question is: If theta is an angle of a right triangle with sin=3/5, please... (answered by lwsshak3)

What is an acute angle theta that satidfies the equation sin theta= cos(2 theta + 33... (answered by lwsshak3)

If theta is an acute angle and sine of theta=1/2,then cosine of theta... (answered by Fombitz)