Chapter 6: Q. 65 (page 396)

Use the even–odd properties to find the exact value of each expression. Do not use a calculator.
$\sin (- 90^{o})$

Short Answer

Expert verified

The exact value of trigonometric expression is -1.

Step by step solution

Step 1. Given Information

Given that the trigonometric expression is $\sin (- 90^{o}) .$ To find the exact value of trigonometric expression using even odd property.

Step 2. Even odd property

On applying even odd property,

$\sin (- θ) = - \sin (θ) \sin (- 90^{o}) = - \sin (90^{o}) = - \sin (2 \times 0 + 1) 90^{o} ∵ \sin (2 n + 1) 90^{o} = {(- 1)}^{n} = - {(- 1)}^{o} \sin (- 90^{o}) = - 1$

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Use the even–odd properties to find the exact value of each expression. Do not use a calculator.
$\sin (- 90^{o})$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Even odd property

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Use the even–odd properties to find the exact value of each expression. Do not use a calculator.sin(-90o)

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Even odd property

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Probability and Statistics

Theoretical and Mathematical Physics

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Use the even–odd properties to find the exact value of each expression. Do not use a calculator.
$\sin (- 90^{o})$