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8 February, 01:31

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) =

+5
Answers (1)
  1. 8 February, 01:45
    0
    Cosθ = - √2/3

    Sinθ = - √7/3

    tanβ = 4/3

    Sinβ = 4/5

    Cosβ = 3/5

    sin (θ+β) = sin (θ) cos (β) + cos (θ) sin (β)

    (-√7/3) (3/5) + (-√2/3) (4/5)

    -√7/5 - 4√2/15
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