Understanding the Trigonometric Identity: Simplifying sinθ/cosθ to tanθ

sinθ/cosθ

The expression sinθ/cosθ represents the ratio of the sine of an angle θ to the cosine of the same angle θ

The expression sinθ/cosθ represents the ratio of the sine of an angle θ to the cosine of the same angle θ. This expression can be simplified using the trigonometric identity of the tangent function.

The tangent of an angle θ is defined as the ratio of the sine of θ to the cosine of θ, meaning that tanθ = sinθ/cosθ. So, sinθ/cosθ is equivalent to tanθ.

Therefore, the simplified form of the expression sinθ/cosθ is tanθ.

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