Question

If CosA= 3/5, then the value of ( sinA×tanA+1)/2tan^2 A is

1 point

88/160

91/160

92/160

93/160

​

Answer 1

cosA=3/5

= Base / Hypotenuse

Therefore, base = 3 units

hypotenuse = 5 units

By using Pythagoras theorem,

Perpendicular = √( 5^2 - 3^2 )

= √ 16

= 4 units

( sinA × tanA + 1 ) /2 tan^2 A

= ( 4/5 × 4/3 + 1 ) / 2 × 16/9

= ( 31/15 ) / 32/9

= 31 / 15 × 9 / 32

= 93 / 160