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2 years ago

Acellus

Mathematics

1 answer:

lukranit [14]2 years ago

8 0

Answer:

d = 14

Step-by-step explanation:

$\sin \: 45 \degree = \frac{a}{7 \sqrt{2} } \\ \\a = 7 \sqrt{2} \sin \: 45 \degree \\ \\ a = 7\sqrt{2} \times \frac{1}{ \sqrt{2} } \\ \\ a = 7 \\ \\ \sin \: 30 \degree = \frac{a}{d} \\ \\ \frac{1}{2} = \frac{7}{d} \\ \\ d = 2 \times 7 \\ \\ d = 14$

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Step-by-step explanation:

As given

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Find the primary solution of cosθ=−0.3 ⁡

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The solution of cos θ = −0.3 is θ = 107.45760312 degrees

Solution:

Given that we have to find the primary solution of $cos \theta = -0.3$

To solve this equation, you must find the unknown (theta)

$cos \theta = -0.3$

Use the inverse of cosine (Arccos) to find the angle measurement (in degrees) of theta

$\theta = arccos (-0.3)$

We know that arccos (-0.3) = 107.45760312 degrees

[ If you reference a unit circle or use a calculator ]

$\theta = 107.45760312^{\circ}$

Therefore solution of cos θ = −0.3 is θ = 107.45760312 degrees

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