+0  
 
0
58
2
avatar+204 

cosθ = −√2 / 3,  where π ≤ θ ≤ 3π / 2 .

tanβ = 4/3 , where 0 ≤ β ≤ π / 2 .

What is the exact value of sin(θ+β) ?

Enter your answer, as a fraction in simplified form.

 

sin(θ+β)  = 

 

 

I tried & I got  -√7/5  -  4√2/15. 

I'm pretty sure it's wrong, because it asks for a fraction in simplfied form, but if someone could help that would be great.. thank you:)

 Apr 28, 2020
 #1
avatar+20981 
+2

I got the same answer.

 

To get one fraction, multiply the numerator and denominator of the first fraction by 3:     -3 sqrt(7) / 15

 

Your answer will be:  [ -3 sqrt(7) - 4 sqrt(2) ] / 15

 

The answer doesn't look very simplified, but that's the best it will get ...

 Apr 28, 2020
 #2
avatar+204 
+1

Okay so I was on the right track! I appreciate your help. Thank you so much! 

auxiarc  Apr 28, 2020

15 Online Users