If cos θ = - 3 5 and π θ 3 π 2 , then tan θ 2 =

Question

If cos θ = - 3 5 and π θ 3 π 2 , then tan θ 2 =, 2, - 2, 1, - 1

MARKS App · Accepted Answer

Given, θ ∈ π , 3 π 2 ⇒ θ 2 ∈ π 2 , 3 π 4 Given, cos θ = - 3 5 ⇒ 1 - tan 2 θ 2 1 + tan 2 θ 2 = - 3 5 ⇒ 5 - 5 tan 2 θ 2 = - 3 - 3 tan 2 θ 2 ⇒ - 2 tan 2 θ 2 = - 8 ⇒ tan 2 θ 2 = 4 ⇒ tan θ 2 = - 2 , 2 ⇒ tan θ 2 = - 2 , as θ 2 ∈ π 2 , 3 π 4

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