Answer: x=3 and y=−2
Step-by-step explanation:
x=−2y−1;4x−4y=20
Step: Solve x=−2y−1 for x:
Step: Substitute−2y−1 for x in 4x−4y=20:
4x−4y=20
4(−2y−1)−4y=20
−12y−4=20(Simplify both sides of the equation)
−12y−4+4=20+4(Add 4 to both sides)
−12y=24
−12y
−12
=
24
−12
(Divide both sides by -12)
y=−2
Step: Substitute−2 for y x=−2y−1:
x=−2y−1
x=(−2)(−2)−1
x=3(Simplify both sides of the equation)
That which is equivalent to tanθ is A sinθ/cosθ
To answer the question, we need to know what tanθ is
<h3>What is tanθ?</h3>
Tanθ is a trigonometric identity which is the tangent of the angle .
Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.
Also, the sine of the angle θ is sinθ = x/1 = x
And also, the cosine of the angle θ is cosθ = y/1 = y
Since we have that
- tanθ = y/x,
- sinθ = x and
- cosθ = y
Substituting the values of the variables y and x into tanθ, we have
tanθ = y/x
tanθ = sinθ/cosθ
So, that which is equivalent to tanθ is A sinθ/cosθ
Learn more about tanθ here:
brainly.com/question/26609988
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