Question

If tan B= cot 47˚, then find B

Answer 1

tan B = cot 47

tan B = tan ( 90-43 )

tan  B = tan 43

tan and tan gets cancelled so,

B = 43;

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Answer 2

If tan B = cot 47° then B = 43°

Given :

tan B = cot 47°

To find :

The value of B

Solution :

Step 1 of 2 :

Write down the given equation

Here the given equation is

tan B = cot 47°

Step 2 of 2 :

Find the value of B

We use the formula

tan θ = cot ( 90° - θ )

Thus we get

tan B = cot 47°

⇒ tan B = tan ( 90° - 47° )

⇒ tan B = tan 43°

⇒ B = 43°

The value of B = 43°

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