Question

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Answer 1

cos A = 4/5

tan A = 4/3

Explanation:

We are told that the sine of Angle A is 3/5.

The sine is defined as the ratio (opposite side) / (hypotenuse).

Here we can assign the value 3 to the length to the opposite side and the value 5 to the hypotenuse. Since this triangle is a right triangle, the Pythagorean Theorem applies:

(opposite side)^2 + (adjacent side)^2 = (hypotenuse)^2.

To write the cosine of Angle A, which is defined as (adjacent side) / (hypotenuse), we need to find the length of the adjacent side:

| adjacent side | = √[ (hypotenuse)^2 - (opposite side)^2.

In this particular case,

| adjacent side | = +√[ 5^2 - 3^2 ], ior just 4.

Then: cos A = 4/5

To write tan A: Find the numerical ratio (opp side) / (adj side), which here is tan A = 3/4

Answer 2

sinc=3/5

ab/bc=3/5

ac2= bc2 -ab2 ( use Pythagoras)

ac2=25-9

ac=4

tanc=ab/ac

=3/4 answer