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What is the exact value of tan²x, where x is an angle?

a. tan²x
b. sin²x-cos²x
c. sin²x/cos²x
d. cos²x/sin²x

User Hilarion
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1 Answer

3 votes

Final answer:

The exact value of tan²x is sin²x/cos²x as per the definition of the tangent function.

Step-by-step explanation:

The exact value of tan²x, where x is an angle, is given by the trigonometric identity tan²x = sin²x/cos²x. This is because tanx is defined as sinx/cosx, and squaring both sides gives us tan²x = (sinx/cosx)² = sin²x/cos²x. Hence, the correct answer to the question is c. sin²x/cos²x.

User Ganapati V S
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