Final answer:
To find the 6 trigonometric functions given sin Ø = -3/5 and cosØ =0, we can use the definitions of the trigonometric functions in a right triangle.
Step-by-step explanation:
To find the 6 trigonometric functions given sin Ø = -3/5 and cosØ =0, we can use the definitions of the trigonometric functions in a right triangle.
Since cosØ = 0, we know that the adjacent side (x) of the triangle is 0, and the opposite side (y) is -3. The hypotenuse (r) can be found using the Pythagorean theorem:
r² = x² + y²
With these values, we can find the other trigonometric functions:
sin Ø = -3/5
cos Ø = 0
tan Ø = sin Ø / cos Ø = (-3/5) / 0 = undefined
csc Ø = 1 / sin Ø = 1 / (-3/5) = -5/3
sec Ø = 1 / cos Ø = 1 / 0 = undefined
cot Ø = 1 / tan Ø = 0 / (-3/5) = 0