Question

Which expressions can be used to find m∠ABC? Select two options. cos−1(StartFraction 9.8 Over 6.3 EndFraction) cos−1StartFraction 6.3 Over 9.8 EndFraction) cos−1(StartFraction 7.5 Over 9.8 EndFraction) sin−1(StartFraction 9.8 Over 7.5 EndFraction) sin−1(StartFraction 7.5 Over 9.8 EndFraction)

Answer 1

Answer:

B.  $Cos ^{-1}$ $\frac{6.3}{9.8}$

E.  $Sin^{-1}$ $\frac{7.5}{9.8}$

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 = $\frac{opposite}{hypotenuse}$

Cosine θ = $\frac{adjacent}{hypotenuse}$

Tangent θ = $\frac{opposite}{adjacent}$

Given that; hypotenuse = 9.8, opposite side = 7.5 and adjacent side = 6.3.

Then,

Sin θ = $\frac{7.5}{9.8}$

⇒ θ = $Sin^{-1}$ $\frac{7.5}{9.8}$

Also,

Cos θ = $\frac{6.3}{9.8}$

⇒ θ = $Cos ^{-1}$ $\frac{6.3}{9.8}$

So, the appropriate answers to the given questions are options B and E.

Answer 2

Answer:

b

Step-by-step explanation: