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Trava [24]
3 years ago
15

In triangle ABC, cos A =

Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

The other expression that has a value of \frac{7}{25} is A) sin B.

Step-by-step explanation:

Step 1:

sin\theta = \frac{oppositeside}{hypotenuse} , cos\theta = \frac{adjacentside}{hypotenuse} , tan \theta = \frac{opposite side}{adjacent side} .

For angle B, the opposite side measures 7 units, the adjacent side measures 24 units and the hypotenuse measures 25 units.

sinB= \frac{oppositeside}{hypotenuse} = \frac{7}{25} , tan B = \frac{opposite side}{adjacent side}  = \frac{7}{24} , cosB = \frac{adjacentside}{hypotenuse}  = \frac{24}{25}.

Step 2:

For angle A, the opposite side measures 24 units, the adjacent side measures 7 units and the hypotenuse measures 25 units.

tan A = \frac{opposite side}{adjacent side}  = \frac{24}{25} .

Step 3:

tan C cannot be determined as C is the right angle. The opposite side and hypotenuse of the triangle would be the same.

So sin B also has a value of \frac{7}{25}. This is option A.

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