Answer
1) 56.31°
2) 33.69°
3) 2/3
3/2
Explanation
There are 3 basic trigonometric ratios, Sine, cosine and tangent.
sine = opposite/hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite/hypotenuse
1) Sintheta = 3/√13
θ = sin⁻¹(3/√13)
= 56.31°
2) Costheta = 3/√13
θ = cos⁻¹(3/√13)
= 33.69°
3) Find tan(90-theta).
For Sintheta = 3/√13,
adjacent = √(13 - 3²) = √4 = 2
∴ Tan (90 - θ) = 2/3
For Costheta = 3/√13
opposite = √(13 - 3²) = √4 = 2
∴ tan( 90 - θ) = 3/2
