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:
Step-by-step explanation:
The given expression is :
We need to simplify the above expression.
We know that,
or
So, the simplified form of the given expression is . Hence, the correct option is (A).
Answer:
x = 2, y= 3
Step-by-step explanation:
y = -2x+7
y = 5x-7
Since the equations are both equal to y, set them equal to each other
-2x+7 = 5x-7
Add 2x to each side
-2x+7 +2x= 5x+2x-7
7 = 7x -7
Add 7 to each side
7+7 = 7x
14 = 7x
Divide by 7
14/7 = 7x/7
2 = x
Now find y
y = 5x-7
y = 5*2 -7
y = 10-7
y =3
1 second = <span>0.000000001 Giga seconds
500 * </span>0.000000001 = <span>0.0000005 Giga seconds</span>
What i cn help with isto calm down becaus ether eis nothing there so CALM down