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: 31/41
Explanation: You multiply the numerator and denominator across such as (2 and 8)= 16 and (3 and 5)= 15.
Once that done, you just calculate it together to get
=31/40
Answer:
To Calculate the monetary value of both jobs, you would have to calculate the percent tax rate of each salary and add the nontaxable benefit after taxes.
Step-by-step explanation:
Reminder: since the 25% is a tax rate which we need to <u>subtract</u> from the salary, 75% would be what is left over from the salary after taxes.
<u>Job 1:</u> Job 1 pays a salary of $41,000 and $5,525 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.
<em><u>So the monetary value of Job 1 would be $36,275</u></em>
<u>Job 2:</u> Job 2 pays a salary of $40,400 and $7,125 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.
<em><u>So the monetary value of Job 2 would be $37,425</u></em>
Answer:
Step-by-step explanation:
y = -3x - 3
m = -3_______
b = -3________
y = 2x + 2
m = 2_______
b = _2_______
SOLVE NOW : -3x - 3 = 2x + 2
- 5x = 5
x = -1
subst in y : y = 2(-1)+2 = 0
the solution is : ( - 1 , 0 )
y = -3x- 3 an equation for the line 'red'
y = 2x+2 an equation for the line 'bleus'