Question

if tan 4 theta = cot (40 - 2 theta ) the theta ??​

Answer 1

Answer: ∅ = 25°

Solution:

tan 4∅ = cot (40° - 2∅)

Use, cot∅ = tan (90° - ∅)

So, tan 4∅ = tan (90° - 40° - 2∅)

tan 4∅ = tan (50° - 2∅)

4∅ = 50° - 2∅

2∅ = 50°

∅ = 25°

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Answer 2

Answer:

25

Step-by-step explanation:

tan 4θ = cot( 40 - 2θ )

Since, tan x = cot ( 90 - x)

cot ( 90 - 4θ ) = cot ( 40 - 2θ )

90 - 4θ = 40 - 2θ

90 - 40 = 4θ - 2θ

50 = 2θ

50/2 = θ

25 = θ

Therefore the value of θ is 25.