Question

Question 4 of 10The reference angle foris the terminal point ofO A. (1,³)2√√32OB.O c. (-3,-¹)O D. (¹1)is, which has a terminal point of?(³₁1).22What

Answer 1

Given:

`The\text{ terminal point of }(\pi)/(6)\text{ is \lparen}(√(3))/(2),(1)/(2)).`
`The\text{ referenc angle for }(7\pi)/(6)\text{ is }(\pi)/(6).`

Required:

`\text{ We need to find the terminal point of }(7\pi)/(6).`

Step-by-step explanation:

`cos((\pi)/(6))=(√(3))/(2)\text{ and }sin((\pi)/(6))=(1)/(2)`
`cos((7\pi)/(6))=cos(\pi+(\pi)/(6))=-cos((\pi)/(6))=-(√(3))/(2)`
`sin((7\pi)/(6))=sin(\pi+(\pi)/(6))=-sin((\pi)/(6))=-(1)/(2)`

Final answer:

`The\text{ terminal point of }(7\pi)/(6)\text{ is \lparen}(-√(3))/(2),(-1)/(2)).`