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What does csc x cot x (1-cos^2 x) equal

User Golay
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Final answer:

The expression csc x cot x (1 - cos^2 x) simplifies to cos x * sin x, which is the product of the sine and cosine functions for angle x.

Step-by-step explanation:

The expression given is csc x cot x (1 - cos^2 x). Using trigonometric identities, we can simplify this expression. It is known that csc x is the reciprocal of sin x, so csc x = 1/sin x, and cot x is the reciprocal of tan x, or cos x/sin x.

Also, because sin^2 x + cos^2 x = 1, the term (1 - cos^2 x) can be replaced with sin^2 x. Substituting these into our given expression, we have:

  • csc x * cot x * sin^2 x = (1/sin x) * (cos x/sin x) * sin^2 x.

This simplifies to:

  • cos x * sin x.

Thus the original expression simplifies to cos x * sin x, which is the product of the sine and cosine functions for angle x.

User POMATu
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Answer:

Step-by-step explanation:

What does csc x cot x (1-cos^2 x) equal-example-1
User Alexandre Jacob
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