Question

If $tan A=\frac{3}{4}$ and A+B=90°, then what is the value of cot B?

Answer 1

SOLUTION :  

Given : tan A = ¾ , A + B = 90°  

A + B = 90°  

B = 90° - A  

On putting cot on both sides,  

cot B = cot (90° - A )

cot B = tan A  

[ cot (90° -θ ) = tan θ )]

cot B = ¾

[tan A = ¾]

Hence, the value of cot B is ¾ .

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