HELP.

URGENT ANSWER LLEASE DUE IN 3 MINUTES!!!!!!!!!!!

AleksAgata [21]

Answer: 9

Step-by-step explanation: 12*12/16

6 0

3 years ago

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If tanA+sinA=m and tanA-sinA=n.prove that m^2-n^2=4√mn

mash [69]

Let $a=\tan A$ and $b=\sin A$ . Then

$m^2-n^2=(a+b)^2-(a-b)^2=(a^2+2ab+b^2)-(a^2-2ab+b^2)=4ab$

$\implies m^2-n^2=4\tan A\sin A$

and

$mn=(a+b)(a-b)=a^2-b^2$

$\implies4\sqrt{mn}=4\sqrt{\tan^2A-\sin^2A}$

The expression under the square root can be rewritten as

$\tan^2A-\sin^2A=\dfrac{\sin^2A}{\cos^2A}-\sin^2A=\sin^2A\left(\dfrac1{\cos^2A}-1\right)=\sin^2A(\sec^2A-1)$

Recall that

$\sin^2A+\cos^2A=1\implies\tan^2A+1=\sec^2A$

so that

$\tan^2A-\sin^2A=\sin^2A\tan^2A$

and assuming $\sin A>0$ and $\tan A>0$ , we end up with

$4\sqrt{\tan^2A-\sin^2A}=4\tan A\sin A$

so that

$m^2-n^2=4\sqrt{mn}$

as required.

5 0

3 years ago

Someone please help me!!!!!!!

Mumz [18]

(4 - -2) / (9 - 5) = 6/4 or 3/2

7 0

3 years ago

A golfer shot 2 rounds of -4 each and then shot2 rounds of 2 each. What was the golfers composite score?

irakobra [83]

Answer:

Step-by-step explanation:

all answers in here just scroll

Download pdf

3 0

3 years ago

The new price of the plane ticket

katen-ka-za [31]

Answer:

159.25

Step-by-step explanation:

175 multiplied by 6% is 10.5

If you subtract 10.5 from 175 you will get 164.5

3 0

3 years ago

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