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Chapter 6: Q. 7 (page 436)

find the exact value of the expression

sin(蟺6)

Short Answer

Expert verified

sin(蟺6)=sin30掳=12

Step by step solution

01

Step 1. Given information 

sin(蟺6)

02

Step 2. Considering a right angled triangle

Firstly we consider a right angled triangle in which one angle is 30掳 (蟺6)and the third angle is 60掳蟺3

Let the sides of the triangle be a=1 , c=2

So , by Pythagorean theorem

c2=a2+b2b2=c2-a2b2=22-12b=3

03

Step 3. Final value 

sin(蟺6)=sin30掳=ac=12sothevalueofsin(蟺6)is12

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Most popular questions from this chapter

In Problems 1-3, convert each angle in degrees to radians. Express your answer as a multiple of 蟺.

2.-400掳

In Problems 4-6convert each angle in radians to degrees.

5.9蟺2

In Problem 85and86graph each of the function

g(x)=2sinxif0鈮�x鈮�蟺cosx+1if蟺<x鈮�2蟺

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

3csc蟺3+cot蟺4

Write the equation of a sine function that has the given characteristics.

Amplitude: 3

Period:蟺
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