Question

If tan(theta+37)=cot theta;0

Answer 1

I hope it May help you....

Answer 2

$Given \:tan (\theta+ 37 \degree ) = cot \theta$

$\implies tan (\theta+ 37 \degree ) = tan (90 \degree - \theta)$

$\implies \theta+ 37 \degree = 90 \degree - \theta$

$\implies \theta+ \theta = 90 \degree -37 \degree$

$\implies 2 \theta = 53$

$\implies \theta = \frac{53}{2}$

$\implies \theta = 26\frac{1}{2} \degree$

Therefore.,

$\red { Value \:of \: \theta} \green {= 26\frac{1}{2} \degree}$

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