Question

theta is a acute angle and tan theta +cot theta =2; find tan^7 theta+cot^9theta​

Answer 1

Answer:

Step-by-step explanation:

you can solve this type of question using hit and trial method

tanθ + cotθ = 2, you can assume θ = 45°

as we know, tan45° = 1 and cot45° = 1

so, tan45° + cot45° = 2 (satisfied)

now apply it in tan^7θ + cot^9θ

= (tanθ)^7 + (cotθ)^9

= 1^7 + 1^9 = 1 + 1 = 2 [Ans]