Question

If tan theta= cot(45°+theta). Find the value of theta

Answer 1

Answer:

22.5

Step-by-step explanation:

tan ∅=cot(90-∅)

cot(90-∅)=cot(45+∅)

on comparing,

90-∅=45+∅

45=2∅

∅=45/2=22.5

Answer 2

Step-by-step explanation:

Here, tanΠ= cot(45+Ω)

= tanΩ= cot(90-Ω)

therefore,

cot(90-Ω)=cot(45+Ω)

90-Ω=45+Ω

90-45=Ω+Ω

45=2Ω

Ω=22.5°

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