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3 years ago

HELP ASAP HELP PLSS 1/2 sin x sin (2x) + cos^3 x simplify using trig identities!!

Mathematics

1 answer:

Alex17521 [72]3 years ago

7 0

Answer:

Step-by-step explanation:

sin(2x) = 2sin(x)cos(x)

so the equation becomes:

1/2sin(x)(2sin(x)cos(x)) +cos^3x = sin^2(x)cos(x) + cos^3(x)

factor cos(x):

cos(x)[sin^2(x) + cos^2(x)] = cos(x)

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3 years ago

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charle [14.2K]

Answer:

$\boxed{(f + g)(x) = {x}^{2} - x + 6}$

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Step-by-step explanation:

$= > f(x) + g(x) = ({x}^{2} + 1) + (5 - x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 1 + 5 - x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 6 - x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} - x + 6$

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4 years ago