Cot theta+tan theta=k, where theta is an acute angle and k is a constant, has real value of tan theta, show that k«2 or k»2?

1 Answer
Mar 12, 2018

cosθ+tanθ=k, where 0oθ90o

Let θ=0o,

cos0o+tan0o=1,

Let θ=90o,

cos90o+tan90o=

Hence, this equation satisfies all real values of k.