3 years ago

HELP ME I WILL GIVE BRANLISEST

Mathematics

1 answer:

RoseWind [281]3 years ago

6 0

Answer:

i think it

Step-by-step explanation:

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schepotkina [342]

Answer:

The solution is $x =0.$

Step-by-step explanation:

The equation

$\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2$

can be rewritten as

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and can be further simplified to

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Now, taking the inverse sine of both sides we get:

$sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)$

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The value of the right side on the interval $[0,2\pi)$ is

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$\boxed{x = 0}$

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Step-by-step explanation:

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