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tan(x)/sec(x)=sin(x)

Sagot :

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Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

tan(x)/sec(x) = sin(x)

Hint: | Eliminate the denominator on the left hand side.

Multiply both sides by sec(x):

tan(x) = ^?sec(x) sin(x)

Hint: | Express both sides in terms of sine and cosine.

Write secant as 1/cosine and tangent as sine/cosine:

sin(x)/cos(x) = ^?1/cos(x) sin(x)

Hint: | Come to a conclusion.

The left hand side and right hand side are identical:

Answer:  (identity has been verified)

Hope you could understand.

If you have any query, feel free to ask.

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