Trigonometric Ratios for 14π: Solving for sin, cos, and tan

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The discussion focuses on calculating the trigonometric ratios for the angle θ = 14π. It is established that the equivalent angle for 14π is π, leading to the following results: sin(14π) = sin(π) = 0, cos(14π) = cos(π) = -1, and tan(14π) = tan(π) = 0. The ratios are derived using the unit circle principles, confirming that tan(θ) is defined as sin(θ)/cos(θ).

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Homework Statement


Find the trigonometric ratios sin\theta, cos\theta, tan\theta for the angle \theta = 14\pi. If a ratio does not exist or is undefined, write "DNE".

The Attempt at a Solution



I know that the other equivalent angle for 15pi is just pi. But I do not know how to write the ratios. From the unit circle, I know that tan\theta = 0/-1. Since tan = sin/cos.
 
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fghtffyrdmns said:

Homework Statement


Find the trigonometric ratios sin\theta, cos\theta, tan\theta for the angle \theta = 14\pi. If a ratio does not exist or is undefined, write "DNE".

The Attempt at a Solution



I know that the other equivalent angle for 15pi is just pi. But I do not know how to write the ratios. From the unit circle, I know that tan\theta = 0/-1. Since tan = sin/cos.
<br /> OK, so sin(15pi) = sin(pi) = ?<br /> What do you get for the other two functions?
 
Mark44 said:
OK, so sin(15pi) = sin(pi) = ?
What do you get for the other two functions?

sin(pi)= 0
cos (pi) = -1
tan (pi) =0.

Is that all?
 

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