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)
Answer:
slope = y = 1/2
y-intercept = b = -3
Step-by-step explanation:
slope intercept equation:
y = mx + b----->(equation 1)
m is slope
b is y-intercept
y = 1/2x - 3----->(equation 2)
Compare (equation 1) and (equation 1)
slope = y = 1/2
y-intercept = b = -3
Answer:
15 feet
Step-by-step explanation:
The ladder is the hypotenuse of a right triangle, with the legs being 9 ft and 12 ft long (see the picture).
To solve for the length of the ladder, use the Pythagorean Theorem.
Answer:
60 degrees
Step-by-step explanation:
180 - 120= 60
Answer:
last one
Step-by-step explanation: 25 divided by four is 6.25
