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Chapter 8: Q. 2 (page 534)

If $θ$ is an acute angle, solve the equation $\cos θ = \frac{\sqrt{2}}{2}$ .

Short Answer

Expert verified

The solution is $θ = 45 ° o r \frac{π}{4}$ .

Step by step solution

Step 1. Given information

Equation: $\cos θ = \frac{\sqrt{2}}{2}$

Step 2. Calculation

Here $θ$ is an acute angle which is less than $90 °$ , so it is in the first quadrant.

$\cos θ = \frac{\sqrt{2}}{2}$

$θ = \cos^{- 1} (\frac{\sqrt{2}}{2})$

$θ = 45 ° o r \frac{π}{4}$

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If θis an acute angle, solve the equationcosθ=22.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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If $θ$ is an acute angle, solve the equation $\cos θ = \frac{\sqrt{2}}{2}$ .