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
I guess so 35 ft or more than it
Answer:
look below
Step-by-step explanation:
thing to note:
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
opposite= side across angle you are using
hypotenuse= side across 90 degree angle
adjacent= remaining side
angle B
sin = 6/10
cos = 8/10
tan = 6/8
angle C
sin = 8/10
cos = 6/10
tan = 8/6
hope that helped. let me know if you have any questions:)
Answer:
the picture is kinda blur but nvm
Step-by-step explanation:
3:b
4:b
5:a
6:b
