What trigonometric functions do not depend on the value of ?Group of answer choicesTangentCosineSineAll of the selections

To determine which trigonometric functions do not depend on the value of $\theta$, we can analyze the functions:

1. Tangent Function ($\tan(\theta)$): The tangent function is defined as $\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$. This function clearly depends on $\theta$ since its value changes with different angles.

2. Cosine Function ($\cos(\theta)$): The cosine function gives the horizontal coordinate of a point on a unit circle for a given angle $\theta$. Therefore, the cosine function also depends explicitly on the value of $\theta$.

3. Sine Function ($\sin(\theta)$): Similarly, the sine function provides the vertical coordinate of a point on a unit circle corresponding to angle $\theta$. Thus, it too is dependent on the value of $\theta$.

4. All of the Selections: Since all the other functions (sine, cosine, and tangent) depend on $\theta$, this choice implies that none of the functions mentioned are independent of $\theta$.

Final Answer

None of the trigonometric functions mentioned (Tangent, Cosine, Sine) do not depend on the value of $\theta$. Therefore, the correct answer is None of the selections (or similar based on provided options).