Question

If A + B = 90°
And tanA = 3/4
Find cot B

Answer 1

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Answer 2

Step-by-step explanation:

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$\bf \huge \: Question \: \:$

• If A + B = 90°
• And tanA = 3/4
• Find cot B

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$\bf \huge \: Given \: \:$

• Tan a =3/4
• Tan a =3/4A + B = 90°

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______________________$\bf \huge</strong><strong> </strong><strong>\:</strong><strong>To</strong><strong> \: </strong><strong>Find</strong><strong>\: \:$

What Is value of cot b?

$\bf</strong><strong>\: </strong><strong>tan</strong><strong>\:</strong><strong> 90</strong><strong>\:</strong><strong> -a =cot a</strong><strong>\: \:$

$\bf</strong><strong>\: </strong><strong>so </strong><strong>\:</strong><strong>cot b = tan </strong><strong>\:</strong><strong>90 -b</strong><strong>\: \:$

$\bf</strong><strong>\: </strong><strong>a+b=90</strong><strong>\: \:$

$\bf</strong><strong>\: </strong><strong>a=90 -b</strong><strong>\: \:$

$\bf</strong><strong>\: </strong><strong>therefore </strong><strong>\:</strong><strong>cot b =3/4</strong><strong>\: \:$