Question

Sin data =cos data = tan data =csc data =sec data cot data =

Answer 1

B

Step-by-step explanation

Step 1

graph the given point and draw a rigth triangle

so , the answer is B

Step 2

when you graph the angle, you get a rigth triangle:

Let

adjancent side=6

opposite side=8

hypotenuse=

`\begin{gathered} hypotenuse^2=6^2+8^2 \\ hypotenuse^2=36+64 \\ hypotenuse^2=100 \\ \text{hypotenuse}=10 \end{gathered}`

now, use those values to find the functions

`\begin{gathered} \sin \emptyset=\frac{opposite\text{ side}}{\text{hypotenuse}}=(8)/(10)=(4)/(5) \\ \cos \emptyset=\frac{adjacent\text{ side}}{\text{hypotenuse}}=(6)/(10)=(3)/(5) \\ \tan \theta=\frac{opposite\text{ side}}{\text{adjancent side}}=(8)/(6)=(4)/(3) \\ \csc \theta=\frac{hyp}{op\text{ si}}=(10)/(8)=(5)/(4) \\ \sec \theta=\frac{hypo}{\text{adjancent side}}=(10)/(6)=(5)/(3) \\ \cot \theta=\frac{adjacent\text{ side}}{\text{opposite side}}=(6)/(8)=(3)/(4) \\ \csc \theta=\frac{hypt}{\text{oppside}}=(10)/(8)=(5)/(4) \end{gathered}`

I hope this helps you