What is the tan20 tan40 root number 3 tan20 tan40

tg(60) = root number 3 = tg(20+40) = tg20+tg40 (1-tg20tg40).

tg20 + tg40 = root number 3 - root number 3tg20tg40

Original = root number 3

t(20+40)=(t20+t40) (1-t20*t40)=t60=root number 3

t20 + t40 = root number 3 - root number 3 * t20 * t40

tan20° + tan40° + root number 3 tan20° tan40° = root number 3

Summary. tan60=tan(20+40)=(tan20+tan40)/(1-tan20tan40) tan20+tan40=tan60(1-tan20tan40) (tan20+tan40+tan120)/tan20*tan40 =[tan60(1-tan20tan40)-tan60]/(tan20*tan40) =tan60tan20tan40)/(tan20*tan40) =tan60 = 3

Is there a formula?

Uh-huh. tan20+tan40=tan(20+40)x(1-tan20 x tan40)

It is not plus, it is tan20*tan40

tan20 × tan40 =

How to write. tan(20°)=

tan(40°)=

As for the calculation process, it is how to write the process without numbers.

tan20 × tan40 =tan(20°)xtan(40°)=

Don't bring numbers, don't bring his values in, don't bring in how to calculate tan20 tan40 = tan(20°)xtan(40°)=

tan20+tan40=tan(20+40)x(1-tan20 x tan40)

tan60=tan(20+40)=(tan20+tan40)/(1-tan20tan40) tan20+tan40=tan60(1-tan20tan40) (tan20+tan40+tan120)/tan20*tan40 =[tan60(1-tan20tan40)-tan60]/(tan20*tan40) =tan60tan20tan40)/(tan20*tan40) =tan60 = 3

It can only be expressed in terms of tan10°.

For the reference, please smile.

If it's just one part of the question, then please send me the full question.

This is simple, because this is a straight hollow angle triangle differential fiber, and the other angle is 90-60 = 30 degrees, let the hypotenuse be 2, according to sin30 = 1 2

Get a pair of sides as 1, according to the ancient theorem, the square of 2 - the square of 1 = the square of the root number 3, and get the other side as the root number 3, so tan60 = the root number Douqing Ku 3 1

tan60° = root number 3

is a commonly used special trigonometric function to celebrate the positive value;

tan60°=tan(20°+40°)=tan20°+tan40°) 1-tan20°*tan40°) is the high book of the repentance "and Jiaogongdong macro style".