Question

Sin(45+x) - cos(45 - x) is equal to

Answer 1

QUESTION:

Sin(45+x) - cos(45 - x) is equal to.

ANSWER:

We use the trigonometry identity here;

$\sin(90 - \alpha ) = \cos( \alpha )$

or

$\cos(90 - \alpha ) = \sin( \alpha )$

now come to main question;

using one of the identity;

$\sin(45 + x) - \cos(45 - x)$

$\cos(90 - (45 + x)) - \cos(45 - x)$

$\cos(90 - 45 - x) - \cos(45 - x)$

$\cos(45 - x) - \cos(45 - x)$

$0$

FINAL ANSWER;

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