Question

3cosQ-4sinQ=2cosQ+sinQ find tanQ

Answer 1

HEY MATE YOUR ANSWER IS HERE..

TAKING ∅ BE X

$3 \: cos \: x - 4 \: sin \: x = 2cos \: x + sin \: x$

BY FURTHER CALCULATION,

$3 \: cos \: x - 2 \: cos \: x = 4 \: sin \: x + sin \:x$

HENCE ,

$cos \: x = 5 \: sin \: x \: - - - - \: eq1$

★ NOW BY USING TRIGNOMATERIC RATIOS ★

$tan \: x = \frac{sin \: x}{cos \: x} \\ \\ tan \: x \: = \frac{sin \: x}{5 \: sin \: x} \: \: \: \: (from \: eq \: 1) \\ \\ tan \: x = \frac{1}{5}$

THANKS FOR YOUR QUESTION HOPE THIS HELPS

★ KEEP SMILING ☺️✌️ ★