126k views
3 votes
The angle θ₁ is located in quadrant i, and cosθ₁=10/17

1 Answer

2 votes

Final answer:

In quadrant i, the cosine function is positive. The angle θ₁ in this question is located in quadrant i and cosθ₁ = 10/17.

Step-by-step explanation:

The angle θ₁ is located in quadrant i, which is the first quadrant. In quadrant i, the cosine function is positive. Since cosθ₁ = 10/17, this means that the adjacent side of the angle is 10 and the hypotenuse is 17. You can use the Pythagorean theorem to find the opposite side:

a2 + b2 = c2

a2 + 102 = 172

a2 + 100 = 289

a2 = 189

a = √189

So, the opposite side of the angle is √189. Therefore, the trigonometric ratios of the angle are:

sinθ₁ = √189/17

cosθ₁ = 10/17

tanθ₁ = √189/10

The primary topic of this question is trigonometry.

User Lohmar ASHAR
by
7.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.