Question

If √3tan theta is equal to one then sin 30+cos 20

​

Answer 1

Soultion

Given

3

tanθ=1⇒tanθ=

3

1

We know tan30

o

=

3

1

∴tanθ=30

o

∴θ=30

o

∴2θ=2×30

o

=60

o

and 3θ=3×30

o

=90

o

∴sin3θ=sin90

o

=1 cos2θ=cos60

o

=

2

1