Answer:
The correct options are;
1) Write tan(x + y) as sin(x + y) over cos(x + y)
2) Use the sum identity for sine to rewrite the numerator
3) Use the sum identity for cosine to rewrite the denominator
4) Divide both the numerator and denominator by cos(x)·cos(y)
5) Simplify fractions by dividing out common factors or using the tangent quotient identity
Step-by-step explanation:
Given that the required identity is Tangent (x + y) = (tangent (x) + tangent (y))/(1 - tangent(x) × tangent (y)), we have;
tan(x + y) = sin(x + y)/(cos(x + y))
sin(x + y)/(cos(x + y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y)) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
∴ tan(x + y) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
Answer:
X= 75, Y=30 there you go!
Step-by-step explanation:
Answer:
<em><u>ok the area of a trapezoid is 48 </u></em>
a+b divided by two multiplied by height
Step-by-step explanation:
each square equals 2 so you count by twos instead of ones..
the height is 8 the base is 8 and the top is 4 so
4+8/2=6
6*8=48
Answer:
9 students on the committee are males
Step-by-step explanation:
As per the statement:
There are 15 students on a yearbook committee.
⇒Total students on a yearbook committee = 15
⇒
....[1]
It is given that:
40% of the students are females
⇒
Substitute in [1] we have;
Subtract 6 from both sides we have;
Therefore, 9 students on the committee are males
