What is the radius of the smaller circle

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Reference no: EM131211002

1. Can anyone show me how to prove.

Tan(2x)=2 tanx/1-tan^2x

2. Divide 4864 into three equal parts such that the second part is 5 times the first and the ratio to second part to third part is 3:4

3. A river loses water by 10 percent of the current amount each day. How many days will it be until less than half remains?

4. Solve for x:

1. x+1/3 + x+4/4 =2

2. 2x-1/3 + x+2/6 =1

3. x-1/5 - x +2/2 =9

4. 7x-1/8 - x+2/4 =3

5. Two circles touch each other externally. The sum of their areas is 130x22/7cm². If the difference between their centres is 14 cm then what is the radius of the smaller circle?

Verified Expert

tan 2x = (2 tan x)/(1 - tan²x) In terms of sin and cos, tan 2x = (2sin x/cos x)/(1 - (sec²x -1)) tan 2x = (2sin x/cos x)/(2 - 1/cos²x) tan 2x = (2sin x/cos x)/((2cos²x - 1)/cos²x)

Reference no: EM131211002

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