/*! 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 134 Explain how to find the value of... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Q 134 (page 397)

Explain how to find the value of sin390ousing periodic properties.

Short Answer

Expert verified

The value of sin390ois :-

12

Step by step solution

01

Step 1. Given Information

We have to find the value of sin390o.

We will use periodic properties of sine function to find the value ofsin390o.

02

Step 2. To find the value

We can write 390oas a sum of 360oand 30o.

This gives us :-

sin390o=sin360o+30o.

As we know 蟺=180o, that is360o=2蟺.
Then we have :-

sin(390o)=sin2蟺+30o.

We also know that sine function is a periodic function of period 2蟺.

That is :-

role="math" sin(2蟺+胃)=sin胃.

By using this periodic property we have :-

sin390o=sin30o

We know that the value of sin30o=12.

By putting this value, we have :-

sin390o=12

This is the required value.

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 exact value of each expression. Do not use a calculator.

2sin蟺4+3tan蟺4

In Problems 13鈥�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.

-25,215.

Difference in Time of Sunrise Naples, Florida, is approximately 90 miles due west of Ft. Lauderdale. How much sooner would a person in Ft. Lauderdale first see the rising Sun than a person in Naples? See the hint. [Hint: Consult the figure. When a person at Q sees the first rays of the Sun, a person at P is still in the dark. The person at P sees the first rays after Earth has rotated so that P is at the location Q. Now use the fact that at the latitude of Ft. Lauderdale in 24 hours an arc of length 2蟺3559miles is subtended.]

Use the graph to determine the domain

and the range of function

y=tan(14x)+1
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

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.