3 sin ( 2 x ) = 3 cos x
3 · 2 sin x cos x - 3 cos x = 0
6 sin x cos x - 3 cos x = 0 /: 3
2 sin x cos x - cos x = 0
cos x ( 2 sin x - 1 )
cos x = 0,
x 1 = π/2, x 2 = 3π/2;
2 sin x - 1 = 0
2 sin x = 1
sin x = 1/2
x 3 = π/6, x 4 = 5π/6.
Answer:
Step-by-step explanation

In product of powers, if base is same, just add the powers
Answer:
10
Step-by-step explanation:
substitute the value
multiply
subtract
Answer:
8
Step-by-step explanation:
0.2:2.5*100 =
( 0.2*100):2.5 =
20:2.5 = 8
To find y you must recognize that 141+3y=180 . You know this since half of a circle is 180, and a line is basically half a circle if you arc from end point to end point.
You can then subtract 141 from both sides,
3y = 39
Then divide both sides by 3,
y=13
You would want to use 39° for 3y° since 3·13= 39.
A triangle can only contain 180°, so you would add 68 and 39 together and then subtract this from 180 to give you x.
68 + 39 + x = 180
107 + x = 180
x = 73