Step-by-step explanation:
√((1 + sin x) / (1 − sin x)) + √((1 − sin x) / (1 + sin x))
Square and take the square root.
√[√((1 + sin x) / (1 − sin x)) + √((1 − sin x) / (1 + sin x))]²
√[(1 + sin x) / (1 − sin x) + 2 + (1 − sin x) / (1 + sin x)]
Add the fractions using least common denominator.
√[((1 + sin x)² + (1 − sin x)²) / (1 − sin²x) + 2]
√[(1 + 2 sin x + sin²x + 1 − 2 sin x + sin²x) / (1 − sin²x) + 2]
√[(2 + 2 sin²x) / (1 − sin²x) + 2]
Use Pythagorean identity:
√[(2 + 2 sin²x) / (cos²x) + 2]
√[2 sec²x + 2 tan²x + 2]
√[2 sec²x + 2 (tan²x + 1)]
Use Pythagorean identity:
√[2 sec²x + 2 sec²x]
√[4 sec²x]
±2 sec x
If x is in the second quadrant, then sec x < 0.
-2 sec x
7/7 - 4/7 = 3/7
This is the relationship between the quantities
Answer:
y=-1/2x+24
Step-by-step explanation:
you solve for y by isolating the y on one side of the equation and the rest of the equation on the opposite side of the equal sign.
1/2x-1/2x+y=24-1/2x
y=24-1/2x
rewritten: y=-1/2x+24
Hope this helps tried to color code it
17∠x-11 set up the equation like this
28∠x add 17 to the other side, and you get x is greater than 28
