Question

15) tan 330°2नउ16) tan 135°3Use the given point on the terminal side of angle to find the value of the trigonometricfunction indicated.17) tan18) sinLave(4,2√5)10,-11)

Answer 1

The trigonometric ratios of an angle represented with its terminal side are given by the following equations:

`\begin{gathered} tanθ=(y)/(x) \\ sinθ=(y)/(√(x^2+y^2)) \end{gathered}`

The first angle terminal side is located at (10, -11), then we get:

`tanθ=(-11)/(10)=-(11)/(10)`

Similarly, for the second angle:

`\begin{gathered} sinθ=\frac{2√(5)}{\sqrt{(2√(5))^2+4^2}}=(2√(5))/(√(4*5+16))=(2√(5))/(√(20+16))=(2√(5))/(√(36))=(2)/(6)√(5)=(√(5))/(3) \\ sinθ=(√(5))/(3) \end{gathered}`