OK, so sin(15pi) = sin(pi) = ?fghtffyrdmns said:Homework Statement
Find the trigonometric ratios [tex] sin\theta, cos\theta, tan\theta for the angle \theta = 14\pi.[/tex] 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 [tex] tan\theta = 0/-1. Since tan = sin/cos.
Mark44 said:OK, so sin(15pi) = sin(pi) = ?
What do you get for the other two functions?
The value of sine for 14π is 0. Sine is a trigonometric function that represents the ratio of the side opposite to the angle to the hypotenuse in a right triangle.
The cosine value for 14π can be found by using the cosine function, which represents the ratio of the adjacent side to the hypotenuse in a right triangle. In this case, the cosine value for 14π is -1.
The tangent value for 14π is 0. Tangent is a trigonometric function that represents the ratio of the opposite side to the adjacent side in a right triangle.
The cotangent value for 14π can be determined by using the cotangent function, which is the reciprocal of the tangent function. In this case, the cotangent value for 14π is undefined.
The trigonometric ratios for 14π have a specific relationship based on the unit circle. In this case, the sine and tangent are both 0, the cosine is -1, and the cotangent is undefined.