Chapter 14: Q49. (page 768)

Find the exact value of the function $\sin (- 315 °)$ .

Short Answer

Expert verified

The exact value of given function is $\frac{1}{\sqrt{2}}$ .

Step by step solution

Step 1. Write down the given equation.

The given function is $\sin (- 315 °)$ .

Step 2. Simplify the given function.

The value of trigonometric function $\sin (- 315 °)$ is evaluated as:

$\begin{matrix} \sin (- 315 °) = - \sin (315 °) \\ = - \sin (360 ° - 45 °) \\ = - (- \sin (45 °)) \\ = \frac{1}{\sqrt{2}} \end{matrix}$

Step 3. Conclusion.

The exact value of given function is $\frac{1}{\sqrt{2}}$ .

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Find the exact value of the function $\sin (- 315 °)$ .

Short Answer

Step by step solution

Step 1. Write down the given equation.

Step 2. Simplify the given function.

Step 3. Conclusion.

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Find the exact value of the function sin-315°.

Short Answer

Step by step solution

Step 1. Write down the given equation.

Step 2. Simplify the given function.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Find the exact value of the function $\sin (- 315 °)$ .