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)
Simply multiply the 475.13 miles to the 5.25 hours to get 2,494.43
Answer:
8y+5x
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Isolate the variable by dividing both sides by 6:
t=144/6=24
The solution is t=24
Good luck!
Y=x-7 this is because you subtracted the x to both sides. Since y is a negative, you divide by -1 causing the -x to turn positive and the positive seven to be negative seven.
