Iwill medal and fan! use the given function values and trigonometric values (including the cofunction identities), to find the indicated trigonometric function. sintheta = 3/√13 costheta = 3/√13 find tan(90-theta). i will medal.

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