Question

Sin a +cos a = root2 cos a
find cot a

Answer 1

Answer:

Hola‼......❤✌

Given,

(sin A + cos A )/cos A = ✓2

=> sin A/cos A + cos A / cos A = ✓2

=> tan A + 1 = ✓2

=> tan A= ✓2-1

=> cot A = 1/✓2-1

=> cot A = 1/✓2-1 * ✓2+1/✓2+1

=> cot A = ✓2+1/(✓2)²-1²

=> cot A = ✓2+1/2-1

=> cot A = ✓2+1

Hope it's helpful...... ☺