Question

f θ lies in a second quadrant defined by sinθ=35 , then tanθ=

Answer 1

Answer: -3/4

Step-by-step explanation:

second quadrant means: (x,y) =( - ,+ ) = (cosθ, sinθ)

So, cosθ will be negative. hence,

now, cosθ = $-\sqrt{1-sin^2}$ =$-\sqrt{1-9/25} =-\sqrt{16/25} =-4/5$

now, tanθ = sinθ/cosθ = (3/5)/(-4/5) = -3/4