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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

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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


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