from the LHS,
= tan 45° - tan 30°
1 + tan 45° tan 30°
but, tan 45° = 1
tan 30 ° = √3/3
= 1 - √3/3
1 + 1 * √3/3
= 3 - √3 ÷ 3 + √3
3 3
= 3 - √3 × 3
3 3 + √3
= 3 - √3
3 + √3
= rationalize the denominator
= 3 - √3 (3 - √3)
3 + √3 (3 - √3)
= 9 + 3 - 6√3
9 - 3
= 12 - 6√3
6
= 2 × 2 × 3 - 2 × 3√ 3
2 × 3
= 2 × 3 (2 - 2×3√3)
2 × 3
= 2 - 6√3
= 2(1 - 3√3)
That's the end point of my proof is rhe answer correct?I hope it is. If it's not please tell me because of the value you wrote (2 - 13) is it correct?
