SOLUTION: Solve for x between 0� and 360� 2 Sin(x + 45�) = 3 cos x

Question 849277: Solve for x between 0� and 360�
2 Sin(x + 45�) = 3 cos x
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve for x between 0� and 360�
2 Sin(x + 45�) = 3 cos x
----
2[sin(x)cos(45)+cos(x)sin(45)) = 3*cos(x)
----
2[sin(x)(sqrt(2)/2) + cos(x)(sqrt(2)/2)] = 3 cos(x)
sqrt(2)[sin(x)+cos(x)] = 3cos(x)
----
sin(x) + cos(x) = (3/sqrt(2))cos(x)
sin(x) = [(3/sqrt(2) - 1]cos(x)
sin(x) = 1.1213*cos(x)
tan(x) = 1.1213
x = arctan(1.1213) = 48.12 degrees
==================
Cheers,
Stan H.
==================

RELATED QUESTIONS
Solve the following equation for x for 0 ≤ x ≤ 360 5 (sin)^2 x + 9 cos x... (answered by Alan3354)

Please help me Find x between (0, 360) sin^2 x cos ^2... (answered by fcabanski)

solve for theta in teh intervals 0 - 360 sin x cos x = cos x (answered by Gogonati)

Solve for all 0 degrees less than or equal to x less than 360 degrees. 3tan x- sqrt( 3... (answered by lwsshak3)

find to the nearest degree, all values of x between 0 degrees and 360 degrees that... (answered by robertb)

Please can you solve the following equation for {{{0 (answered by venugopalramana)
solve sin^2 x-sin x-2=0 for 0<= x <... (answered by chibisan)
Solve sin^2 x - sin x - 2 = 0 for 0 < x < 360 Thanks a... (answered by jsmallt9)
8 sin^2 x + 3 sin 2x = 4 Solve for all angles btw 0 and 360 which satisfy the equation. (answered by ikleyn)