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Triangle A B C is shown. Angle C A B is a right angle. Angle A B C is 30 degrees and angle B C A is 60 degrees. The length of A C is 9 and the length of hypotenuse C B is 18. Which trigonometric ratios are correct for triangle ABC? Select three options. sin(C) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction cos(B) = StartFraction StartRoot 2 EndRoot Over 3 EndFraction tan(C) = StartRoot 3 EndRoot sin(B) = One-half tan(B) = StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction

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israelxmartinezx

Answer:

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harmondj570

Answer:

i. sin(C) =      

ii. tan(C) =

iii. sin(B) =

Step-by-step explanation:

Given a right angled triangle ABC, with a right angle at A.

<ABC =

<BCA =

AC = 9 = 1

CB = 18 = 2

Applying Pythagoras theorem to ΔABC, we have;

AB =

   =

  =

Thus applying the trigonometric ratios, it would be observed that;

i. sin(C) =

ii. tan(C) =

iii. sin(B) =

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