Question

Solve cotx + 2cotxsinx = 0 for 0 degrees < or equal to x < or equal to 180 degrees

Answer 1

Step-by-step explanation:

cotx +2cotxsinx =0

cotx +2 $\frac{cosx}{sinx}$× sinx= 0

cotx +2 cosx= 0

$\frac{cosx}{sinx}$+ 2cosx= 0

$\frac{cosx+ 2cosxsinx}{sinx}$ = 0

cosx +2 cosxsinx= 0

cosx ×(1+ 2sinx)= 0

Hence, either cosx= 0 that is x= 90° or 270°

or 1+ 2sinx = 0 that is sinx= $\frac{-1}{2}$ i.e. x= 210° or 330°

As, 0° ≤x≤ 180° ∴ x= 90°

Answer 2

Answer:

90°

Step-by-step explanation: