The exact values of sec θ, tan θ and sin θ are 6.4/4, 5/4 and 5/ 6.4 respectively.
How to determine the trigonometric ratios
From the figure, we have the values of the sides to be;
- opposite side = 5
- Adjacent side = 4
Let's use Pythagorean theorem to find the hypotenuse(x)
Hypotebuse square = opposite side square + adjacent side square
Substitute the values deduced from the figures given
x² = 5² + 4²
x² = 25 + 16
x² = 41
x = [tex]\sqrt{41}[/tex]
x = 6. 4
sin θ = opposite/hypotenuse
Substitute the values
sin θ = 5/ 6. 4
tan θ = opposite/ adjacent
Substitute the values
tan θ = 5/ 4
sec θ = hypotenuse/ adjacent
substitute the values
sec θ = 6. 4/ 4
Thus, the exact values of sec θ, tan θ and sin θ are 6.4/4, 5/4 and 5/ 6.4 respectively.
Learn more about trigonometric identities here:
https://brainly.com/question/7331447
#SPJ1
