What is the value of 1+sin(2x)?

Sawyer Burch

Sawyer Burch

Answered question

2023-03-22

What is the value of 1+sin2x?

Answer & Explanation

Genesis Terrell

Genesis Terrell

Beginner2023-03-23Added 12 answers

Determine the value of1+sin2x.
Apply the trigonometric identities:
sin2x+cos2x=11sin2x=2sinxcosx2
Substitute the value of 1 from equation 1 and the value of sin2x from equation 2 in the given equation.
1+sin2x=sin2x+cos2x+2sinxcosx1+sin2x=sinx+cosx2[a+b2=a2+b2+2ab]
Hence, the value is 1+sin2x=sinx+cosx2.

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