Answer:

Step-by-step explanation:
The given trigonometric equation is
.
We can either use the Pythagorean identity or the right angle triangle to solve for
.
According to the Pythagorean identity,

Recall that, the cosine function is an even function, therefore

.
We substitute this value in to the above Pythagorean identity to get;






But we were given that,
, so we choose the negative value.

The correct answer is B
Answer:
12- 4i
Step-by-step explanation:
(4+6i)+(8-10i)
4+6i+8-10i
4+8+6i-10i
12-4i
Answer:
C:
Step-by-step explanation:
Both angles add up to 180°
<BCG + <BFG = 180°
2x+146+4x+238=180
6x+384 = 180°
6x = 180-384
6x = -204
Dividing both sides by 6
x = -34
Simply you can substitute theta=45 degrees (or any angle,not zero) in left hand side and right hand side.
or
using a^2 - b^2 =(a+b)(a-b)
= sin(2x+x)sin(2x-x)
= sin 3x sin x