sinA - cosA +1 / sinA + cosA -1 = secA + tanA
Now secA = 1/cosA and tanA = sinA/cosA
So sinA - cosA +1 / sinA + cosA -1 = 1/cosA + sinA / cosA
From now on I'll write sinA = s and cosA = c :-
(s - c + 1 )/ (s + c - 1) = 1/c + s/c
(s - c + 1) / (s + c - 1) = (1 + s) / c
Cross multiply:-
s + c - 1 + s^2 + sc - s = sc - c^2 + c
s^2 + c + sc - 1 = sc - c^2 + c
s^2 - 1 + sc - sc + c - c = -c^2
s^2 - 1 = -c^2
-(1 - s^2) = - c^2
Now 1 - s^2 = c^2 so:-
- c^2 = - c^2
So the identity is proved
Answer:
-3/2
Step-by-step explanation:
the constant of variation is commonly known as <em>k .</em>
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y/x= <em>k</em>
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so -3/2 is your answer
Answer: A
Step-by-step explanation:
The average height of a variety a is greater but varies less than a variety b
The final balance is $580.81.
The total compound interest is $80.81.
Answer:
360 miles
Step-by-step explanation:
If you travel 90 miles in 1 ½ hours, it will take 360 miles if you drove 6 hours.
All you have to do is, multiply 1 ½ until you get to 6.
The easiest way is:
1 ½ = 90 miles
1 ½ (90 miles) x 2 = 3 or 180 miles
3 (180 miles) x 2 = 6 or 360
Therefore, 6 hours = 360 miles.
