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:
42.50/5 = p is the equation; $8.50 per pack
Step-by-step explanation:
DIVIDE 42.50 between the 5 packs of toilet paper.
THIS GETS YOU $8.50 per pack.
THE EQUATION used was 42.50/5 = p.
Answer:
<u>The correct answer is r = ∛GM*T²/4π²</u>
Step-by-step explanation:
Let's rewrite the formula to find the period of orbit of a satellite around a planet, to solve for r, this way:
T^2=(4pi^2/GM)r^3
T² = (4π²/GM) * r³
r³ = T²/ (4π²/GM)
r³ = T² * GM/4π²
r³ = GMT²/4π²
∛r³ = ∛GM*T²/4π²
r = ∛GM*T²/4π²
<u>The correct answer is r = ∛GM*T²/4π²</u>
Answer:
39 tickets were given to the employees
Step-by-step explanation:
1. Approach
First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.
2.Given
A total of 234 tickets were given away
5 times as many tickets were given away to listeners compared to employees
-Call the number of tickets given away to employees (x)
3. Form an equation
(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)
Substitute,
x + 5x = 234
Simplify,
6x + 234
Inverse operations,
6x = 234
/6 /6
x = 39
Hello! :)
What is the probability of choosing a pen from the first box? It is 5/10 = 1/2.
What is the probability of selecting a crayon from the second box? It is 5/8.
The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/2 = 5/16.
Hope this helped and I hope I answered in time!
Good luck!
~ Destiny ^_^
