sin theta +cos theta=√3 then tan theta +cot theta solve with small answer​

1 thought on “sin theta +cos theta=√3 then tan theta +cot theta solve with small answer​”

1. Answer:

   Step-by-step explanation:

   If cosθ=-√3/2,

   Then,squaring on both sides,we get.

   =>cos²θ=(-√3/2)²

   =>cos²θ=3/4

   =>1/cos²θ =4/3

   =>sec²θ =4/3, [because 1/cosθ=secθ]

   =>1+tan²θ =4/3, [because sec²θ- tan²θ=1]

   =>tan²θ =4/3 – 1

   tanθ =±√(1/3)

   As we know that tanθ is negative in 2nd quadrant

   So, tanθ =–√(1/3),Ans.

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