X is a positive acute angle. That means x is located in the first quadrant and has positive value in sin, cos, tan.
The formula of trigonometry ratio
cos x =

sin x =

From the formula of cosine
cos x =


from the formula above, adjacent side is 3 units, and hypotenuse is 5 units
Draw a right triangle to illustrate the location of the sides. See image attached.
To find the ratio of sine, we need to find the length of opposite side using pythagorean theorem
3² + (opposite)² = 5²
9 + (opposite)² = 25
(opposite)² = 25 - 9
(opposite)² = 16
opposite = 4
The length of opposite side is 4 units
Find sin x
sin x =

sin x =
1: ‘8’/3x = 1+ 5/3x
2: ‘8’/3x-5/3x= 1+ 5/3x-‘5/3x’
3: ‘3’/3x=1
4: 1
Answer:
x=12
Step-by-step explanation:
4x-10=3x+2
Subtract 3x on both sides:
x-10=2
Add 10 on both sides:
x=12
Hope this helps!