Gamerpattaseidn
Answered

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Prove It. tan 45º - tan 30°/ 1 + tan 45º tan 30° = 2 – 13​

Sagot :

Upendoidn

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?

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