1. given:
csc(x) + sin(x)
2. definition of csc(x) :
1/sin(x) + sin(x)
3. combining fractions with a common denominator:
(1 + sin²(x))/sin(x)
4. expanding 1 = cos²(x) + sin²(x) :
(cos²(x) + sin²(x) + sin²(x))/sin(x)
5. simplifying:
(2 sin²(x) + cos²(x))/sin(x)
6. employing the same identity as in (4) :
(2 (1 - cos²(x)) + cos²(x))/sin(x)
7. expanding 2 (1 - cos²(x)) :
(2 - 2 cos²(x) + cos²(x))/sin(x)
8. simplifying:
(2 - cos²(x))/sin(x)
16 Feet because 15 divided by 3 is 5 then you add 3+3+5+5
They are vertical angles and here’s why.
Vertical angles are a pair of opposite angles formed by intersecting lines.
Supplementary angles are two angles that equal 180 when added together.
Adjacent angles are two angles that have a common side and a common vertex.
Complementary angles are two angles that add up to 90 degrees.
Hope this helped!
Hey! I tried doing this, but there are no like terms??
