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TS EAMCET · Maths · Trigonometric Ratios & Identities

If cosθ=-35 and π<θ<3π2, then tanθ2=

  1. A 2
  2. B -2
  3. C 1
  4. D -1
Verified Solution

Answer & Solution

Correct Answer

(B) -2

Step-by-step Solution

Detailed explanation

Given, θ∈π,3π2 ⇒θ2∈π2,3π4 Given, cosθ=-35 ⇒1-tan2θ21+tan2θ2=-35 ⇒5-5tan2θ2=-3-3tan2θ2 ⇒-2tan2θ2=-8 ⇒tan2θ2=4 ⇒tanθ2=-2,2 ⇒tanθ2=-2, as…