Given that tanθ almost equal to≈ 2.773 where 0<θ<π2, find the values of sinθ and cosθ. Show work.

Step-by-step explanation:

the given data is

tanθ = 2.773 and 0<θ<π/2

this implies θ = tan inverse(2.773)

⇒ θ =  70.16°

Therefore, sinθ = sin70.16° = 0.9406

similarly,cosθ =  cos70.16° = 0.3393

therefore, values of sinθ and cosθ are  0.9406 and 0.3393 respectively.