/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 60 Use the even鈥搊dd properties to... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q. 60 (page 396)

Use the even鈥搊dd properties to find the exact value of each expression. Do not use a calculator.

cos(-30o)

Short Answer

Expert verified

The exact value of the function is32.

Step by step solution

01

Step 1. Given Information

Given that the trigonometric function is cos(-30o).To find the exact value of trigonometric function using even odd property.

02

Step 2. Even odd property

Cosine function is an even function

cos(-胃)=肠辞蝉胃cos(-30o)=cos(30o)=32

03

Step 3. Proof for equilateral triangle

On taking equilateral triangle,

04

Step 4. Proof using equilateral triangle

On taking the equilateral triangle as ABC and draw a line bisects of A. On taking triangle as ADC,鈭�CAD=30o. On using Pythagorean triangle,

AC2=AD2+DC2a2=a24+AD2AD=32acos(30o)=ADACcos(30o)=32aacos(30o)=32

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

find the value of the remaining five trigonometric functions of 蠎

sin蠎=57, 蠎 in Second Quadrant.

find the value of the remaining five trigonometric functions of

tan蠎=-125蟺/2<蠎<蟺

Use a calculator to find the approximate value of each expression rounded to two decimal places:cot蟺12

If a particle has a speed of rfeet per second and travels a distance d(in feet) in time t(in seconds), thend=_______.

In problems 13-20, Px,yis the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric functions of t.

223,-13.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.