Question

Which equation can be used to find the measure of angle LKJ? cos−1(StartFraction 8. 9 Over 10. 9 EndFraction) = x cos−1(StartFraction 10. 9 Over 8. 9 EndFraction) = x sin−1(StartFraction 10. 9 Over 8. 9 EndFraction) = x sin−1(StartFraction 8. 9 Over 10. 9 EndFraction) = x.

Answer 1

The equation that can be used to find the measure of angle LKJ  is

x = Sin⁻¹ (8.9/10.9).

what are trigonometric ratios?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

As we know that

sine of an angle = perpendicular/hypotenuse

Sine of ∠LKJ = 8.9/10.9

∠LKJ  = Sin⁻¹ (8.9/10.9)

x = Sin⁻¹ (8.9/10.9)

Therefore, the equation that can be used to find the measure of angle LKJ is x = Sin⁻¹ (8.9/10.9).

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