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Chapter 10: Q. 7 (page 701)

Find all the solutions of the equationsin(2胃)=0.5

Short Answer

Expert verified

The required solution is胃=n蟺+蟺12

Step by step solution

01

Step 1. Given Information

The given equation issin(2胃)=0.5

02

Step 2. Calculation

The solution to the given equation can be determined as follows,

sin2胃=sin蟺62胃=蟺6胃=蟺12

The sine function is periodic with a period of localid="1648802622461" 蟺, we can obtain a general solutions to the given equation by adding integral multiplies of the period to the obtained solution.

Thus, the solutions to the given equation islocalid="1648802604809" 胃=n蟺+蟺12

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