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QveST [7]
3 years ago
14

What is the cosine ratio for angle F?

Mathematics
2 answers:
Elan Coil [88]3 years ago
8 0

ANSWER

\cos( \angle \: F)  =  \frac{5}{13}

EXPLANATION

The side length adjacent to <F is 5 units.

The length of the hypotenuse is 13 units.

The cosine ratio is

\cos( \angle \: F)  =  \frac{adjacent}{hypotenuse}

This implies that:

\cos( \angle \: F)  =  \frac{5}{13}

The fourth choice is correct.

AnnZ [28]3 years ago
5 0

hope this answer your question :)

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gizmo_the_mogwai [7]

Answer:

α = π/3

γ = 2

x = -3π/4, -5π/12, π/4, 7π/12

Step-by-step explanation:

Easiest way to do this is in reverse.

γ sin(2x − α)

Angle sum/difference formula:

γ (cos α sin(2x) − sin α cos(2x))

Distribute:

γ cos α sin(2x) − γ sin α cos(2x)

Matching the coefficients:

γ cos α = 1

γ sin α = √3

Solve the system of equations.  Divide to eliminate γ:

tan α = √3

α is between 0 and π/2, so:

α = π/3

γ = 2

sin(2x) − √3 cos(2x) = 1

Using the identity from before:

2 sin(2x − π/3) = 1

Solving:

sin(2x − π/3) = 1/2

2x − π/3 = π/6 + 2kπ or 5π/6 + 2kπ

2x = π/2 + 2kπ or 7π/6 + 2kπ

x = π/4 + kπ or 7π/12 + kπ

x is between -π and π, so:

x = -3π/4, -5π/12, π/4, 7π/12

7 0
3 years ago
What is 0.572 divide by 4
Daniel [21]

Answer:

0.143

Step-by-step explanation:

Please mark me as Brainliest if you are satisfied with the answer.

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2 years ago
A pipe is leaking and 1.5 cups per day about how many gallons per week is the pipe leaking
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