Use the figure to find the exact value of the trigonometric function.
Sin 2θ
A = 1,b = 2

A)$\frac { 5 } { 5 }$
B) $\frac { 4 } { 5 }$
C) $\frac { 5 } { 4 }$

Name: Use the figure to find the exact value of the trigonometric function. Sin 2θ A = 1,b = 2 A)$\frac { 5 } { 5 }$ B) $\frac { 4 } { 5 }$ C) $\frac { 5 } { 4 }$
Brand: Quizplus
Rating: 4.9 (29 reviews)

Question

Use the figure to find the exact value of the trigonometric function. ​
Sin 2θ​  ​
A = 1,b = 2
​
A)$\frac { 5 } { 5 }$ ​ 
B) $\frac { 4 } { 5 }$ ​ 
C) $\frac { 5 } { 4 }$ ​

Quizplus · Accepted Answer

From the given right triangle, we can write:
$$\sin 2	heta = \frac{2}{\sqrt{1+4}}=\frac{2}{\sqrt{5}}$$
Therefore, the correct answer is B.

Use the Figure to Find the Exact Value of the Trigonometric