Question

Write the acute angle O satisfying root3 sin O = cos O.

Answer 1

We know sin 30 = 1/2 and cos 30 = root3/2
Observe that if we multiply root3 to sin 30, it becomes cos 30

Therefore O = 30

Another method....
$\sqrt{3}sin O = cos O$
$\sqrt{3}= \frac{cos O}{sin O}= cot O$
$\frac{1}{ \sqrt{3} }=tan O$
$\frac{1}{\sqrt{3} } = tanO$
We know tan 30 is 1/root2
So O = 30

Answer 2

Answer:

angle is 30

Step-by-step explanation:

consider # as teta

root(3)*sin # - cos # =  0

root(3)*sin # = cos #

root(3)= cos# / sin #

root(3) = cot #

# = 30  [Since, cot 30 = root(3)]

hope its helpfull!!!! :)