if x=30°,evaluate without using tables/calculator tan2x-1/tan2x 1?

Hycentee

4 years ago

If x = 30°
Then tan2x - 1/tan2x + 1 will be equal to
tan60° - 1/ tan60° + 1

And tan60° = √3

Then the expression above will be

√3 - 1/√3 +1

Rationalizing the denominator
√3 - 1/ √3 + 1 x √3 - 1/√3 - 1
3 - 2√3 + 1/ 3 - 1
4 - 2√3/2
2 - √3