100 POINTS AND BRAINLIEST!! PRE CALC! The trigonometric relation cos (π/3 + x) + cos (π/3 - x) is equivalent to:

a. cos 2x
b. cos x
c. sin x
d. 1/2 cos x

Please explain your answer :)

b

Step-by-step explanation:

use cos(r + s ) = cosrcoss - sinrsins to expand.

cos pi/3 cosx - sin pi/3 sinx + cos pi/3 cosx + sin pi/3 sinx

the two in bold cancel out.

cospi/3 cosx + cospi/3 cosx

pi = 180° in trigonometry.

cos 180/3 cosx + cos 180/3 cosx

1/2 cosx + 1/2 cosx

= cos x

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divide