Question

If cot {(π / 2) – θ} = √3

then the value of cos θ is??☺✌❤​

Answer 1

Step by step explanation:

2π/3 is the answer

Answer 2

Concept

In mathematics, trigonometry is a branch that deals with sides and angles of a right angled triangle.

Given

cot {(π / 2) – θ} = √3

Find

The value of cos θ

Solution

cot {(π / 2) – θ} = cos {(π / 2) – θ} / sin {(π / 2) – θ}

Using the formulas

cos(A−B)=cosAcosB+sinAsinB

sin(A-B) = sinAcosB - sinBcosA

cot {(π / 2) – θ} = ( cos π / 2 cos θ +sin π / 2 sin θ ) / ( sin π / 2 cos θ -       cosπ / 2 sinθ)

= sin θ / cos θ

= tan θ

We are given that  

cot {(π / 2) – θ} = √3

tan θ  = √3

θ = π / 3

cos π / 3 = 1/2

The value of cos θ is 1/2

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