Mathematics: Sin(x-pi/2)=-cosx prove the identity

Sin(x-pi/2)=-cosx prove the identity - id23714199, morgan4411

Ответ:

ciel8809

09.01.2022

let's bear in mind that sin(π/2) = 1 and cos(π/2) = 0.

$\bf \textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\ sin(\alpha - \beta)=sin(\alpha)cos(\beta)- cos(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin\left(x-\frac{\pi }{2} \right)\implies sin(x)cos\left( \frac{\pi }{2} \right)-cos(x)sin\left( \frac{\pi }{2} \right) \\\\\\ sin(x)[0]-cos(x)[1]\implies -cos(x)$

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Ответ:

devbar3416

15.03.2020

Mathematics

First off it would be 9 divided by 2/5.
Then by using the reciprocal, multiply them both (change 9 to 9/1)

9/1 x 5/5 = 45/2

If you would like to convert it, it would be 22 1/2

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Sin(x-pi/2)=-cosx
prove the identity

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