1.

If (cotA – tan A)/2 = x, then the value of x is1). tan2A2). cot2A3). tanA4). cotA

Answer»

From the GIVEN data,

COTA = cosA/SINA and tanA = sinA/cosA

⇒ [(cosA/sinA) - (sinA/cosA)]/2 = x

⇒ (cos2A - sin2A)/ (2sinAcosA) = x

We know that, COS2A = cos2A - sin2A and sin2A = 2 × sinA × cosA

⇒ cos2A/sin2A = x

⇒ x = cot2A


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