Question

(iv) 1 - tan230° 1+tan230° sin 300​

Answer 1

Answer:

The value of

\frac{2tan30}{1-tan^{2}30}

1−tan

2

30

2tan30

= \sqrt{3}

3

Step-by-step explanation:

______________________

we know that,

\boxed {\frac{2tanA}{1-tan^{2}A}=tan2A}

1−tan

2

A

2tanA

=tan2A

______________________

Here ,

A = 30°

\frac{2tan30}{1-tan^{2}30}

1−tan

2

30

2tan30

= tan(2\times 30)tan(2×30)

= tan60°

= \sqrt{3}

3

Therefore,

The value of

\frac{2tan30}{1-tan^{2}30}

1−tan

2

30

2tan30

= \sqrt{3}

3