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)
Before:It's too short. Write at least 20 characters to explain it well.
After:It's too short. Write at least 20 characters to explain it well.
25% of $270 is $67.50
10% of $270 is $27.0
27.0
+67.50
is $94.50
$270 - $94.50 is
$175.50 (Final Answer.) [I hope this helped you!]
Answer: a) 11,238,513 and b) 292,201,338
Step-by-step explanation:
Since we have given that
Number of white balls = 69
Number of white balls drawn = 5
Number of red balls = 26
Number of red balls drawn = 1
According to question, The Powerball jackpot is won by matching all five white balls in any order and the red Powerball.
So, a) Possible different ways of Powerball tickets can be purchased is given by
And
b) Number of possible ways of different winning Poweball tickets are there would be
Hence, a) 11,238,513 and b) 292,201,338
