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use the figure shown to determine which trigonometric ratio is incorrect?

a. sin 30°= 4/8
b. cos 60°=4/8
c. sin 60°= square root of 48 over 8
d. tan 30°= square root of 48 over 8

use the figure shown to determine which trigonometric ratio is incorrect? a. sin 30°= 4/8 b. cos 60°=4/8 c. sin 60°= square root of 48 over 8 d. tan 30°= square class=

Answer :

Answer:

Option d is incorrect.

Step-by-step explanation:

See the diagram attached.

a. [tex]\sin 30^{\circ} = \frac{AB}{AC} = \frac{4}{8}[/tex]. Hence, this is correct.

Here, sin Ф is given by perpendicular divided by the hypotenuse.

b. [tex]\cos 60^{\circ} = \frac{AB}{AC} = \frac{4}{8}[/tex]. Hence, this is also correct.

Here, cos Ф is given by base divided by the hypotenuse.

c. [tex]\sin 60^{\circ} = \frac{BC}{AC} = \frac{\sqrt{48}}{8}[/tex]. Hence, this is also correct.

d. [tex]\tan 30^{\circ} = \frac{AB}{BC} = \frac{4}{\sqrt{48}}[/tex]. Hence this is not correct.

Here, tan Ф is given by perpendicular divided by base.

Therefore, option d is incorrect. (Answer)

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