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How do you solve #sin3x=1/2#?

Answer 1

Violet Anderson

From angle table

You know that

#sin(30^@)=1/2#

In your equation, you have

#sin(3x)=1/2#

Since both equations are equal to the same value, you can write

#sin(3x) =sin(30^@)#

This implies that

#3x=30^@ => x = 30^@/3 = 10^@#

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Answer 2

Delilah Aguilar

#10^@, 50^@#

#sin 3x = 1/2# Trig table of special arcs gives # 3x = 30^@# #x = 10^@#

The trig unit circle gives another arc x that has the same sin value: #3x = (180 - 30) = 150^@# #x = 50^@# Answers for (0, 360): #10^@, 50^@#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.