Question

if tan theta=cot(theta+6) and (theta+6)are acute angle find theta
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Answer 1

Answer:

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Answer 2

Given:

• tan (2 × θ) = cot (θ + 6)

To Find:

• Value of theta (θ) = ?

Formula Used:

• cot θ = tan (90 - θ)

Solution:

Placing values,

➙ cot ( 90 - 2θ ) = cot (θ + 6)

➙ 90 - 2θ = θ + 6

➙ 90 - 6 = 2θ + θ

➙ 84 = 3θ

➙ θ = 84/3

➛ θ = 28.

Hence,

• Value of θ is 28.

ExtraShots:

• sin θ = cos (90 - θ)

• cos θ = sin (90 - θ)

• tan θ = cot (90 - θ)

• cot θ = tan (90 - θ)

• sec θ = cosec (90 - θ)

• cosec θ = sec (90 - θ)