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) =

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

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: