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
Answer:
for the first question, it's (2,2) and for the last question it's (0,2)
Answer:
The answer for first one is,
a³
Answer for Second one is,
n.
Answer for 3rd one is.
-3y
Answer for number four.
x⁹
sorry couldn't answer number 5.
Answer:
20
Step-by-step explanation:
There are 20 ways to select 3 cups from the 6 cups.
This can be calculated using formula nCr
Where,
n = objects
r = sample
Calculating 6C3 using calculator that is 20.
Answer:
V = 603.43 cm³
Step-by-step explanation:
V = πr²h
Where r = 4 cm, h = 12 cm
V = 22/7 × 4² × 12
V = 22/7 × 4 × 4 × 12
V = 4224/7
V = 603.43 cm³
