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)
4n+7−(7n−8)
=4n+7+−1(7n−8)
=4n+7+−1(7n)+(−1)(−8)
=4n+7+−7n+8
Combine Like Terms
=4n+7+−7n+8
=(4n+−7n)+(7+8)
=−3n+15
Answer:
4
Step-by-step explanation:
Given that three pairs of gloves- a red pair, a blue pair, and a green pair-are in a drawer. The gloves are removed at random without returning any to the drawer.
We have to find the minimum number that must be removed in order to guarantee having a matched pair of gloves
No of different colours = 3 (red, blue, green)
Hence no of gloves that must be removed = 3+1
If 4 gloves are removed, only 3 can be of different colours 1 will have same colour as any one of the three.
So a pair of same colour would be obtained
Answer is 4
Answer:
11. x=18, y=5
12. x=17, y=9
Step-by-step explanation:
Use the angle property https://www.proprofs.com/quiz-school/story.php?title=angle-properties-parallel-lines (REFER TO THIS LINK)
<u>Answer:</u>
<u>(BEFORE YOU SUBMIT IT, PLEASE READ THE WARNING)</u>
QUESTION EIGHT: 2690
QUESTION NINE: 120
QUESTION ELEVEN: 12.5
QUESTION FOURTEEN: 24
<u>Step-by-step explanation:</u>
<u>WARNING!! FOR QUESTIONS WITH INTEREST: I do not know if interest is good or bad (if you get money, or if you lose money. I counted interest as making money, but if you are sure it's not, contact me in the comments and I will solve it again! :)</u>
8.
may 3rd -> july 15th = 73 days
500*0.06 = 30
30 = how much he makes in one day (so he has 530 after 1 day)
30*73 = 2190
500 + 2190 = 2690
9.
210/7 = 30
1% for 3 years = 30
1% for 1 year = 10
100% for 1 year = 1000
2000*0.06 = 120
11.
54,000*0.08 = 4320
54,000/4320 = 12.5
14.
5000*6.26% = 312.5
7500/312.5 = 24
