Question

if sinA=√3(cos(A)) and 0

Answer 1

Answer:

We have: sin(a)=35sin⁡(a)=35

We need to determine the value of tan(a)tan⁡(a), which is equal to sin(a)cos(a)sin⁡(a)cos⁡(a).

In order to do this, we need to first evaluate the value of cos(a)cos⁡(a).

One of the Pythagorean identities is cos2(a)+sin2(a)=1cos2⁡(a)+sin2⁡(a)=1.

We can rearrange this identity to get:

⇒cos(a)=±1−sin2(a)−−−−−−−−−√⇒cos⁡(a)=±1−sin2⁡(a)

Let’s substitute our value for sin(a)sin⁡(a):

⇒cos(a)=±1−(35)2−−−−−−−−√⇒cos⁡(a)=±1−(35)2

=±