sin 2x, cos 2x, and tan 2x

by Zachary
(CA, USA)

Find sin 2x, cos 2x, and tan 2x from the given information.

Comments for sin 2x, cos 2x, and tan 2x

 May 04, 2012 sin 2x, cos 2x, and tan 2x by: Staff Question: by Zachary (Campbell CA, USA) Find sin 2x, cos 2x, and tan 2x from the given information. Answer: csc(x) = hypotenuse/opposite side csc x = 9, tan x < 0 x = csc⁻¹(9) since csc is a +9 (a positive value), the angle x must be in the 1st, or 2nd quadrants x = 6.3793702084428°, or 173.6206297915572° However, the tan x must be a negative (<0) value according to the problem statement. . Therefore, x must be in the second quadrant x = 173.6206297915572° ------------------------------------------ sin 2x = sin (2*173.6206297915572°) sin 2x = sin (347.2412595831144°) sin 2x = -0.22084622 cos 2x = cos (2*173.6206297915572°) cos 2x = cos (347.2412595831144°) cos 2x = 0.9753086419753 tan 2x = tan (2*173.6206297915572°) tan 2x = tan (347.2412595831144°) tan 2x = -0.2264372635443 >>> the final answer is: sin 2x = -0.22084622 cos 2x = 0.9753086419753 tan 2x = -0.2264372635443 Thanks for writing. Staff www.solving-math-problems.com