SOLUTION: If 8tan(theta) = 3cos(theta) , find the value of sin(theta)

Question 972530: If 8tan(theta) = 3cos(theta) , find the value of sin(theta)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
If 8tan(theta) = 3cos(theta) , find the value of sin(theta)
***
theta=x=acute angle
8tanx=3cosx

8sinx=3cos^2(x)
8sinx=3(1-sin^2(x))
8sinx=3-3sin^2(x)
3sin^2(x)+8sinx-3=0
(sinx+3)(3sinx-1)=0
..
sinx+3=0
sinx=-3 (reject, (-1 ≤ sinx ≤ 1))
or
3sinx-1=0
sinx=1/3
x≈19.47˚
RELATED QUESTIONS
If sec theta=5/3 find the value of sin theta-1/tan theta/2tan... (answered by ikleyn)

if 3 sin theta-4 cos theta=5 find the value of (3 sin theta + 4 cos theta) (answered by Edwin McCravy)

if tan theta=5/4 find the value of 3 sin theta + 4 cos theta/3 sin theta - 4cos (answered by Alan3354)

If cos(theta) = -0.6 and sin(theta) is greater than 0, find the exact value of tan(theta) (answered by josmiceli)

If sec(theta)=4, and sin(theta)< 0, find the exact value of... (answered by danarusu)

if tan theta = 2/3, and theta is acute, find the exact value of sin... (answered by lwsshak3)

If sin theta =x,find the value of tan theta for... (answered by Alan3354)

If sin theta = sort(3)/2. Find the value of cosec theta + cot theta (answered by Alan3354)

If sin(theta) = 7/24' and cos(theta) < 0, find the exact value of tan(theta) (answered by Alan3354)