3 years ago

Simplify the trigonometric expression cos(2x)+1 using Double-Angle identities

Mathematics

1 answer:

Irina18 [472]3 years ago

8 0

9514 1404 393

Answer:

C. 2cos²(x)

Step-by-step explanation:

The relevant identities are ...

cos(2x) = cos²(x) -sin²(x)

cos²(x) = 1 -sin²(x)

Then the expression can be simplified to ...

cos(2x) +1 = (cos²(x) -sin²(x)) +1 = cos²(x) +(1 -sin²(x)) = cos²(x) +cos²(x)

= 2cos²(x)

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