Question

find sin210-cos300+tan420​

Answer 1

Answer:

$- 1 \ + \sqrt{3}$

Step-by-step explanation:

we can solve this by applying ASTC rule and complementary angles rule

sin210=sin(360-210)=sin150

sin150=cos(150-90)=cos60=1/2

As 210 is in 3rd quadrant therefore sin is negative from ASTC.

sin210=-1/2

cos300=cos(360-300)=cos60=1/2

As 300 is in 4th quadrant therefore cos is positive from ASTC.

tan420=tan(420-60)=tan60=underoot(3)

As 420 again comes in 1st quadrant therefore all are positive from ASTC.

Now if we add all... we will get the answer