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Shtirlitz [24]
2 years ago
8

Type the correct answer in the box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use

/ for the fraction bar. Simplify the expression. tan(-x) cos(-x) =
Mathematics
2 answers:
aksik [14]2 years ago
4 0

Answer:

The correct simplification of the given expression  tan(-x){\times}cos(-x) is -sinx.

Step-by-step explanation:

The given expression is:

tan(-x){\times}cos(-x)

Now, simplifying the above given expression, we get

=\frac{sin(-x)}{cos(-x)}{\times}cos(-x) (because tanx=\frac{sinx}{cosx}})

=sin(-x)

Also, we know that sin({-\theta})=-sin{\theta}, tehrefore teh expression becomes

=-sinx

Hence, the correct simplification of the given expression  tan(-x){\times}cos(-x) is -sinx.

lidiya [134]2 years ago
3 0
THE ANSWER IS : sin(-x)

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