If tan α = √3 + 2, then the value of tan α − cot α is:

Question

Accepted Answer

C. 2√3

1. cot α = 1 / (√3 + 2). Rationalise: multiply by (√3 − 2)/(√3 − 2); denominator = 3 − 4 = −1.
2. So cot α = −(√3 − 2) = 2 − √3.
3. tan α − cot α = (√3 + 2) − (2 − √3) = 2√3.
_Source: RRB Group D CEN-02/2018 PYQ, Q.25._

Answer

2

Answer

√3 − 2

Answer

4

If tan α = √3 + 2, then the value of tan α − cot α is:

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