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
Answer: less than.
Explanation:
1) The function f(x)= [x] returns the integer number that is less than x.
2) For example,
[3.0] = 3
[3.01] = 3
[3.25] = 3
[3.55] = 3
[3.99] = 3
[4.00] = 4
Answer:
Your answer is 3x = 15
Step-by-step explanation:
3x = 15
Since 3 is being multiplied by x, we divide both sides by 3. 3x/3 cancels out, and you're left with x.
15/3 = 5
x = 5
This is my take using algebraic methods.
Answer:
4.25
Step-by-step explanation:
17/4
= 4.25
I hope it helps! Have a great day!
Muffin ^^
