Answer:1/6
Step-by-step explanation:
Answer:
3rd option is correct
Step-by-step explanation:
:)
Answer:
√(9/7)
Step-by-step explanation:
tan θ + cot θ = 7
Write tan and cot in terms of sin and cos.
(sin θ / cos θ) + (cos θ / sin θ) = 7
Multiply both sides by sin θ cos θ
sin² θ + cos² θ = 7 sin θ cos θ
Use Pythagorean identity.
1 = 7 sin θ cos θ
1/7 = sin θ cos θ
Remember that, we'll use it later. Go back to this step:
sin² θ + cos² θ = 7 sin θ cos θ
This time, add 2 sin θ cos θ to both sides.
sin² θ + 2 sin θ cos θ + cos² θ = 9 sin θ cos θ
Factor.
(sin θ + cos θ)² = 9 sin θ cos θ
Substitute.
(sin θ + cos θ)² = 9 / 7
Take square root.
sin θ + cos θ = √(9/7)
Option: rationalize the denominator.
sin θ + cos θ = 3√7 / 7
Answer:
Step-by-step explanation: Fourteen can be expressed as 2 + 3 + 4 + 5, also a sum of consecutive positive integers. Some numbers can be expressed as a sum of consecutive positive integers in more than one way. For example, 25 is 12 + 13 and is also 3 + 4 + 5 + 6 + 7.
Answer:
$4.80
Step-by-step explanation:
By adding the prices together, you can determine that the 5 pounds of the trail mix cost $24.
Simply divide 24 by 5 to get the price per pound, and you will get 4.8