Question 134

If θ is an acute angle and tan θ + cot θ = 2, then the value of $$tan^{5} θ + cot^{5} θ$$ is

Solution

tan θ + cot θ = 2
$$\theta = 45^\circ$$
tan θ = cot θ = 1
$$tan^{5} θ + cot^{5} θ = 2$$


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