3 years ago

Rewrite 2sin2x + 3 cos x − 3 in terms of cos x

Mathematics

1 answer:

Feliz [49]3 years ago

4 0

9514 1404 393

Answer:

-2cos²(x) +3cos(x) -1

Step-by-step explanation:

Use the "Pythagorean identity" to replace sin²(x).

sin²(x) +cos²(x) = 1

Then ...

2sin²(x) +3cos(x) -3 = 2(1 -cos²(x)) +3cos(x) -3

= -2cos²(x) +3cos(x) -1

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