Add all the like terms
3b + b = b(3 + 1) = 4b
So, 3b + b + 6 = 4b + 6
Answer:
-16/65
Step-by-step explanation:
Given sinα = 3/5 in quadrant 1;
Since sinα = opp/hyp
opp = 3
hyp = 5
adj^2 = hyp^2 - opp^2
adj^2 = 5^2 = 3^2
adj^2 = 25-9
adj^2 = 16
adj = 4
Since all the trig identity are positive in Quadrant 1, hence;
cosα = adj/hyp = 4/5
Similarly, if tanβ = 5/12 in Quadrant III,
According to trig identity
tan theta = opp/adj
opp = 5
adj = 12
hyp^2 = opp^2+adj^2
hyp^2 = 5^2+12^2
hyp^2 = 25+144
hyp^2 = 169
hyp = 13
Since only tan is positive in Quadrant III, then;
sinβ = -5/13
cosβ = -12/13
Get the required expression;
sin(α - β) = sinαcosβ - cosαsinβ
Substitute the given values
sin(α - β) = 3/5(-12/13) - 4/5(-5/13)
sin(α - β)= -36/65 + 20/65
sin(α - β) = -16/65
Hence the value of sin(α - β) is -16/65
Good evening ,
______
Answer:
It has one solution = -2.
___________________
Step-by-step explanation:
5y + 8 = −2 ⇔ 5y = -8 -2 = -10 ⇔ y = -10/5 ⇔ y = -2.
:)
Answer:
6=p
Step-by-step explanation:
We want to isolate p, so we can first multiply by p on both sides.
24/p=4
24=4p
Then, divide by 4.
6=p