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2 years ago

Please help………………………..

Mathematics

1 answer:

Volgvan2 years ago

7 0

Answer:

(a) sin⁻¹(√35/14)

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between sides and angles in a right triangle. Here, the given sides AB and AC are the side opposite angle C, and the hypotenuse (opposite right angle B). That means the relevant relation is ...

Sin = Opposite/Hypotenuse

sin(C) = AB/AC

For this problem, substituting values gives ...

sin(C) = (3√5)/(6√7) = (1/2)√(5/7) = (1/2)(√35)/7 = (√35)/14

C = arcsin((√35)/14)

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<em>Additional comment</em>

Choice B can be eliminated on the grounds that the fraction is not reduced to lowest terms. Choices C and D are eliminated because they assume a cosine relation is involved. That is, you can choose the correct answer based on SOH CAH TOA without concerning yourself with the details of the radical expression.

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hence,

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