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.
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:)
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 ...