Question

if Φ is an acute angle and tanΦ + cotΦ=2,find the value of tan^5Φ+cot^5Φ
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Answer 1

Answer:

the answer is 2

Step-by-step explanation:

refer to the above attachment for the solution

Answer 2

Answer:

tan∅ + cot∅ = 2

=> tan∅ + con∅ = 1 + 1

on comparing both sides

tan∅ = 1 and cot ∅ = 1

=> tan ∅ = tan45 and cot∅ = cot45

=> ∅ = 45 and ∅ = 45

thus,

∅ = 45°

now,

tan^5 ∅ + cot^5 ∅

=( tan45)^5 +( cot45)^5

= 1^5 + 1^5

= 1 + 1

= 2.