Short Answer

Evaluating an Expression
Evaluate the expression without using a calculator
${(s i n 60^{°})}^{2} + {(c o s 60^{°})}^{2}$

The answer of the expression is 1.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

A trigonometric expression is given as ${(\sin 60^{°})}^{2} + {(\cos 60^{°})}^{2}$ .

Step 2. Concept used

To simplify the problem, use trigonometric ratios. Replace the ratio values in the expression and do the calculation. For more simplification, utilize trigonometric identities.

Step 3. Calculation

The given expression is ${(\sin 60^{°})}^{2} + {(\cos 60^{°})}^{2}$ , substitute the values as-

$\begin{array}{l} ∵ \sin 60^{°} = \frac{\sqrt{3}}{2} & \cos 60^{°} = \frac{1}{2} \\ = {(\frac{\sqrt{3}}{2})}^{2} + {(\frac{1}{2})}^{2} \\ = \frac{3}{4} + \frac{1}{4} \\ = \frac{4}{4} \\ = 1 \end{array}$

Select your language

Precalculus Mathematics for Calculus

Answers without the blur.

Short Answer

Evaluating an Expression
Evaluate the expression without using a calculator
${(s i n 60^{°})}^{2} + {(c o s 60^{°})}^{2}$

Step by Step Solution

Step 1. Given information

Step 2. Concept used

Step 3. Calculation

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Precalculus Mathematics for Calculus

Answers without the blur.

Short Answer

Evaluating an ExpressionEvaluate the expression without using a calculator(sin60°)2+(cos60°)2

Step by Step Solution

Step 1. Given information

Step 2. Concept used

Step 3. Calculation

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Pure Maths

Evaluating an Expression
Evaluate the expression without using a calculator
${(s i n 60^{°})}^{2} + {(c o s 60^{°})}^{2}$