Trigonometry
posted by Blair .
4+29sin=12cos^2
How do you determine this

Trigonometry 
Bosnian
If your expression mean:
4+29sin(x)=12cos^2(x)
then go on:
wolframalpha dot com
When page be open in rectangle type:
solve 4+29sin(x)=12cos^2(x)
and click option =
After few seconds when you see result click option: Show steps 
Trigonometry 
Bosnian
Remark:
cos ^ 2 ( x ) = 1  sin ^ 2 ( x )
12 cos ^ 2 ( x )= 12 [ 1  sin ^ 2 ( x ) ] =
12  12 sin ^ 2 ( x )
29 sin ( x )  12 cos ^ 2 ( x ) + 4 =
29 sin ( x )  [ 12  12 sin ^ 2 ( x ) ] + 4 =
29 sin ( x )  12 + 12 sin ^ 2 ( x ) + 4
= 29 sin ( x )  8 + 12 sin ^ 2 ( x ) =
12 sin ^ 2 ( x ) + 29 sin ( x )  8 
Trigonometry 
Blair
When I solved this out I got x=32/12 and x=1/4. Is this right?

Trigonometry 
Reiny
Not x = .... but rather sinx = 32/12 or sinx = 1/4
Picking up from where Bosnian left off
12sin^2 x+ 29sinx  8 = 0
(4sinx  1)(3sinx + 8) = 0
sinx = 1/4 or sinx = 8/3, but sinx has to be between 1 and 1, so the last part is undefined
sinx = 1/4, so
x = 14.48° or 165.52°
if you want radians, set your calculator to RAD
and find arcsin (.25)
Respond to this Question
Similar Questions

trigonometry
determine the trend of each linear function: 1. f(x)= 3x+5 I don't know what you call the "trend" or why you call this a trigonometry question. It is about algebra. The value of the function increases with x at a rate of three times … 
Trigonometry
Prove the identity. 6cos^2(x)1 12cos^4(x) +8cos^6(x)= cos^3(2x) Thanks for your help :) 
Calculus
f(x) = 6(cos(x))^2  12sin(x) 0 ¡Ü x ¡Ü 2(PI) I have to find where the interval is increasing, decreasing, local mins and maxs, inflection points, and concave up and down. I understand how to do these type of problems. I am just … 
calculus
where is f(x)=12cos(3x) equal to zero. so far i have pi/2+n2pi.. i am not sure about pi/2 
functions 12
solve 12cos^2X=8+13sinX between the window of 360 ¡Ü x ¡Ü 360 
Math
14.8cos(27.8)(29cos(x))+14.8sin(27.8)(29sin(x))=22 How do you solve for x? 
trig
if 5sin theta + 12cos theta is equal to 13 find the value of tan theta 
math trigonometry
if 5sin theta + 12cos theta is equal to 13 find the value of tan theta 
math
5sin + 12cos = 13 , find the value of tan 
Trigonometry
I'm having trouble doing trigonometry. Determine the possible coordinates of a terminal point for each angle in standard position. A) 315° I have no clue how to do this. Please explain and show me the work so I can do the rest of …