3 years ago

Right Triangle Trigonometry Please Help me with this question:)

Mathematics

1 answer:

sergejj [24]3 years ago

4 0

Tangent = opposite side / adjacent

Tangent M = m/p

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Use basic trigonometric identities to simplify the expression: sin (-x) cos (-x) csc (-x) =?

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Answer:

$sin (-x) cos (-x) csc (-x) =cos(x)$

Step-by-step explanation:

We know by definition that the cosine is an even function, therefore

$cos (-x) = cos (x)$

We also know that the sin is an odd function, therefore

$sin (-x) = -sin (x)$

By definition:

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$csc(-x) = -\frac{1}{sin(x)}.$

Using these trigonometric properties we can simplify the expression

$sin (-x) cos (-x) csc (-x)= -sin(x)cos(x)*(-\frac{1}{sin(x)})\\\\sin (-x) cos (-x) csc (-x)=cos(x)$

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