Select the correct answer from each drop-down menu.
1 answer:
Answer:
Cos θ = -4/5
Tan θ = -3/4
Step-by-step explanation:
The question is as following:
Select the correct answer from each drop-down menu.
Angle θ lies in the second quadrant, and sin θ =3/5.
cos θ = -4/5, -3/5, 3/5, 4/5
tan θ = -4/3, -3/4, 3/4, 4/3
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Since, the angle lies in second quadrant (negative x axis and positive y axis) we can deduce that cos θ is negative and tan θ is also negative.
If sin θ =3/5
∴ Cos θ = -4/5 ⇒ because θ lies in the second quadrant.
And
Tan θ = (sin θ)/(cos θ) = (3/5) / (-4/5) = -3/4.
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Step-by-step explanation:
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The exercise asks for solving it graphically. Then, in this case, you need to graph both lines in order to determine the solution of the system.
In order to graph it, you can find the x-intercepts and the y-intercepts:
1. It is important to remember the Slope-Intercept Form of the equation of a line:
Where "m" is the slope of the line and "b" is the intercept.
In this case, you can identify that the y-intercept of the first line is:
And the y-intercept of the second line is:
2. By definition, the value of "y" is zero when the line intersects the x-axis.
Then, you need to substitute the following value of "y" into each equation and then solve for "x", in order to find the x-intercept of each line:
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