Question

Given triangle ABC, which equation could be used to find the measure of ZB?
315
O cos m_B =
215
5
hang
O sin m2B = 15
O cos m2B =
15
2.
215
O sin m B =
5

Answer 1

Answer:

First option

Step-by-step explanation:

cos B= 6/3√5

=2/3√5

multiply √5 in numerator and denominator

= 2√5/5

Answer 2

The measure of ∠B, can be found using the equation cos m∠B = 2√5/5, using the trigonometric ratios. Hence, first option is the right choice.

What are trigonometric ratios?

Trigonometric ratios are the ratios of the sides of a right triangle, with respect to one of its interior angle.

The 6 trigonometric ratios are:-

1. sin θ = perpendicular/hypotenuse
2. cos θ = base/hypotenuse
3. tan θ = sin θ/cos θ = perpendicular/base
4. cot θ = 1/tan θ = cos θ/sin θ = base/perpendicular
5. sec θ = 1/cos θ = hypotenuse/base
6. cosec θ = 1/sin θ = hypotenuse/base

How to solve the question?

In the question, we are given a right triangle ABC, and are asked to find the equation which will be used to find the measure of ∠B.

To find the measure of ∠B, we will find the trigonometric ratios for the angle m∠B.

• sin m∠B = 3/3√5 = 1/√5 = √5/5 {∵sin θ = perpendicular/hypotenuse}
• cos m∠B = 6/3√5 = 2/√5 = 2√5/5 {∵ cos θ = base/hypotenuse}

Thus, the measure of ∠B, can be found using the equation cos m∠B = 2√5/5, using the trigonometric ratios. Hence, first option is the right choice.

Learn more about trigonometric ratios at

https://brainly.com/question/11967894

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