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Chapter 6: Q. 23 (page 437)

the point (x, y) is on the terminal side of angle in standard position. Find the exact value of the given trigonometric function
$(- 5, 11), \cos ϑ$

Short Answer

Expert verified

$\cos ϑ = \frac{- 5}{\sqrt{146}}$

Step by step solution

01

Step 1. Given information

$(- 5, 11), \cos ϑ$

02

Step 2. Solving for cosϑ

We know that for any given point (x,y)

$\cos ϑ = \frac{x}{r} r = \sqrt{x^{2} + y^{2}}$

Using this : $\cos ϑ = \frac{x}{r} \cos ϑ = \frac{- 5}{\sqrt{5^{2} + 11^{2}}} \cos ϑ = \frac{- 5}{\sqrt{146}}$

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Most popular questions from this chapter

Convert each angle in degrees to radians. Express your answer in decimal form, round to two decimal places.

$17 °$

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Use a calculator to find the approximate value of each expression rounded to two decimal places.

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