Answer:
B. [tex]Cos ^{-1}[/tex] [tex]\frac{6.3}{9.8}[/tex]
E. [tex]Sin^{-1}[/tex] [tex]\frac{7.5}{9.8}[/tex]
Step-by-step explanation:
The trigonometric functions are applied when given a side and one of the angles of a right angled triangle.
Sine θ = [tex]\frac{opposite}{hypotenuse}[/tex]
Cosine θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Tangent θ = [tex]\frac{opposite}{adjacent}[/tex]
Given that; hypotenuse = 9.8, opposite side = 7.5 and adjacent side = 6.3.
Then,
Sin θ = [tex]\frac{7.5}{9.8}[/tex]
⇒ θ = [tex]Sin^{-1}[/tex] [tex]\frac{7.5}{9.8}[/tex]
Also,
Cos θ = [tex]\frac{6.3}{9.8}[/tex]
⇒ θ = [tex]Cos ^{-1}[/tex] [tex]\frac{6.3}{9.8}[/tex]
So, the appropriate answers to the given questions are options B and E.
