# What will be the Value of θ, If

If θ is an acute angle and tan^{2}θ + (1/tan^{2}θ)= 2, then the value of θ is

- 60
^{o} - 15
^{o} - 45
^{o} - 30
^{o}

** Answer: (3) **45

^{o}

**Explanation: –**

tan^{2}θ + (1/tan^{2}θ)= 2

tan^{2} θ + cot^{2} θ = 2

Put, θ = 45^{o}

Then, tan^{2} 45^{o} + cot^{2}45^{o} = 2

1 + 1 = 2

Then, the value of θ = 45^{o}.