Answer:
The answer is below
Step-by-step explanation:
The slope of a line (m) is given by:
Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1.
1)
Since the product of their slope is -1, they are perpendicular
2)
Since the slope is not the same or product of their slope is not -1, they are neither parallel or perpendicular
3)
Since the slopes are the same, they are parallel
4)
Since the slopes are the same, they are parallel
5)
Since the product of their slope is -1, they are perpendicular
Answer:
(1-cos2A) /(1+cos2A) =tan²A
Proof:
We know that,
cos(A+B) =cosA.cosB-sinA.sinB
=>cos2A=cos(A+A)
=>cos2A=cosA.cosA - sinA.sinA
=>cos2A=cos²A-sin²A
=>cos2A=(cos²A-sin²A)/(cos²A+sin²A
Since {cos²A+sin²A=1}
Divide the numerator & the denominator by (cos²A) to get,
cos2A = {(cos²A-sin²A) ÷cos²A} / {(cos²A+sin²A) ÷cos²A}
cos2A ={(1-tan²A)/(1+tan²A)}
Then,
1-cos2A = 1-[{(1–tan²A)/(1+tan²A)}]
1-cos2A =(1+tan²A-1+tan²A)/(1+tan²A)
1-cos2A=(2tan²A)/(1+tan²A)
And now.......
1+cos2A=1+[{(1-tan²A)/(1+tan²A)}]
1+cos2A={1+tan²A+1-tan²A}/{1+tan²A}
1+cos2A=2/(1+tan²A)
So now,
(1-cos2A)/(1+cos2A)= {2tan²A/(1+tan²A)}÷{2/(1+tan²A)}
={(2tan²A)(1+tan²A)}÷{2(1+tan²A)}
=tan²A
Step-by-step explanation:
make me as brain liest
104.37 , because if you do 147•29% it is equivalent to 42.63 and then if you do 147-42.63=104.37
Answer:
∠RST = 6x - 18
Step-by-step explanation:
Since SQ bisects ∠TSR then ∠RSQ = ∠QST = 3x - 9
and ∠RST = ∠RSQ + ∠QST = 3x - 9 + 3x - 9 = 6x - 18
