Question

find an acute angle theta when cos theta minus sin theta upon cos theta + sin theta is equal to one minus under root 3 upon oneplus under root 3

Answer 1

HELLO DEAR,

GIVEN:-

$\bold{\frac{cos\Theta - sin\Theta}{cos\Theta + sin\Theta} = \frac{1 - \sqrt{3}}{1 + \sqrt{3}}}$

applying componendo and dividend,

$\bold{\Rightarrow \frac{cos\Theta - sin\Theta + cos\Theta + sin\Theta}{cos\Theta - sin\Theta - cos\Theta - sin\Theta} = \frac{1 - \sqrt{3} + 1 + \sqrt{3}}{1 - \sqrt{3} - 1 - \sqrt{3}}}$

$\bold{\Rightarrow \frac{2cos\Theta}{-2sin\Theta} = \frac{2}{-2\sqrt{3}}}$

$\bold{\Rightarrow cot\Theta = \frac{1}{\sqrt{3}}}$

$\bold{\Rightarrow, cot\Theta = cos60\degree}$

$\bold{\therefore, \Theta = 60\degree}$

I HOPE ITS HELP YOU DEAR,

THANKS

Answer 2

Answer:

Step-by-step explanation:theta =60 degrees