Question

If 3 tan X-5 cos y=√3, and y= 90°, find the value of x.​

Answer 1

Answer:

$3 \: tanx - 5 \: cosy = \sqrt{3} \\ \therefore \: 3 \: tanx - 5 \: cos \: 90 \degree = \sqrt{3} \\ ( \because \: y =90 \degree) \\ \therefore \: 3 \: tanx - 5 \times 0 = \sqrt{3} \\ ( \because \:cos \: 90 \degree = 0) \\ \therefore \: 3 \: tanx - 0= \sqrt{3} \\\therefore \: 3 \: tanx = \sqrt{3} \\ \implies \: tanx = \frac{ \sqrt{3} }{3} \\ \implies \: tanx = \frac{ \sqrt{3} }{\sqrt{3} \times \sqrt{3} } \\ \implies \: tanx = \frac{ 1}{\sqrt{3} } \\ \implies \: tanx = tan \: 30 \degree \\ \implies \: \huge \fbox{ x = 30 \degree }$