Question

if tan A = √2 then find the value of sin A and sin 2 A​

Answer 1

Step-by-step explanation:

tan A = ✓2

p/b = ✓2

p/b = ✓2/1

let p(perpendicular) be ✓2x

and b(base) be 1x

therefore h(hypotenuse) will be

h = ✓{(✓2)^2 + 1^2}

h = ✓{2 +1}

h = ✓3x

sin A = p/h

= ✓2x/✓3x

=✓2/✓3