Question

1-cos(6x)=___? A. 3sin(2x) B. 2sin^2(3x) C. 3cos(2x) D. 2cos^2(3x)

Answer 1

The solution to 1 - cos(6x) is 2sin²(x).

Hence, option B) 2sin²(x) is the correct answer.

What is solution to 1 - cos(6x)?

Given that; 1 - cos(6x) = ?

First, we rewrite using trig identity

1 - cos(2 × 3x)

Using the double angle identity, { cos2(x) = 1 - 2sin²(x) }

1 - ( 1 - 2sin²(x) )

Eliminate the parentheses

1 - 1 + 2sin²(x)

2sin²(x)

The solution to 1 - cos(6x) is 2sin²(x).

Hence, option B) 2sin²(x) is the correct answer.

Learn more about trig identity here: brainly.com/question/10376944

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