Question

If tan theta + cot theta =2
then
tan^4 theta +cot^4 theta= 2 prove that​

Answer 1

Solution

→ tan∅ + cot∅ = 2

→ tan∅ + 1/tan∅ = 2

→ (tan²∅ + 1)/tan∅ = 2

→ tan²∅ - 2 tan∅ + 1 = 0

→ tan∅ = 1

Hence value of ∅ is 45°.

→ tan⁴∅ + cot⁴∅ = 2

→ tan⁴∅ + 1/tan⁴∅ = 2

→ (tan 45°)⁴ + 1/(tan 45°)⁴ = 2

→ 1⁴ + 1/1⁴ = 2

→ 2 = 2

Hence Proved

Answer 2

Answer:

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