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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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