What are the values of the trigometric functions;
The choices are 1, -1, 0, undefined.
tan(-270degrees)
answer: undefined
cot(-270 degrees)
answer:0
sec(-270degrees)
answer:undefined
correct
EVALUATE A-13 WHAEN A=33
EVALUATE A-13 WHEN A=33
To find the values of the trigonometric functions for -270 degrees, let's break it down step by step:
1. To find the trigonometric functions, we first need to determine the reference angle. The reference angle is the acute angle between the terminal side of the angle (-270 degrees) and the x-axis.
2. In this case, the terminal side of the angle (-270 degrees) is in the third quadrant, which is equivalent to adding 360 degrees to it. So, -270 degrees + 360 degrees = 90 degrees.
3. Now that we have the reference angle of 90 degrees, let's find the values of the trigonometric functions.
- Tangent (tan): The tangent function is defined as the ratio of the opposite side to the adjacent side in a right triangle. In the case of 90 degrees, the adjacent side is 0, and there is no opposite side. The division of zero by zero is undefined, so the value of tan(-270 degrees) is undefined.
- Cotangent (cot): The cotangent function is the reciprocal of the tangent function. Since the tangent function is undefined, the cotangent function will be the reciprocal of undefined, which is also undefined. Hence, the value of cot(-270 degrees) is undefined.
- Secant (sec): The secant function is defined as the ratio of the hypotenuse to the adjacent side in a right triangle. Since the adjacent side is 0 in this case, the division of any number by 0 is undefined. Therefore, the value of sec(-270 degrees) is also undefined.
So, the correct answer for the values of the trigonometric functions at -270 degrees are:
- tan(-270 degrees): undefined
- cot(-270 degrees): 0
- sec(-270 degrees): undefined