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.

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Answer:

SinB = 1/2, SinC = √3/2 and

TanC = √3

Step-by-step explanation:

The question lacks options. Find the complete question in the comment section.

Given triangle ABC, we will use the SOH, CAH, TOA trig identity to get the correct ratio.

Given the hypotenuse BC = 18 and one of the other two sides AC = 9, we can get the third side AB using Pythagoras theorem.

BC² = AC²+AB²

18² = 9²+AB²

2² = 1²+AB²

AB² = 4-1

AB² = 3.

AB = √3

Making <ABC as reference angle, AC will be opposite and AB will be the adjacent.

Sin<ABC = opp/hyp = AC/BC

Sin<ABC = 1/2

Cos<ABC = adj/hyp = AB/BC

Cos<ABC = √3/2

Tan<ABC = opp/adj = AC/AB

Tan<ABC = 1/√3

Making <BCA as reference angle, AB will be opposite and AC will be the adjacent.

Sin<BCA = opp/hyp = AB/BC

Sin<BCA = √3/2

Cos<BCA = adj/hyp = AC/BC

Cos<BCA = 1/2

Tan<BCA = opp/adj = AC/AB

Tan<BCA = √3

Frim the above calculation, the correct options are sin<ABC = 1/2, Sin<BCA = √3/2 and Tan<BCA = √3

Answer:

A C D

Step-by-step explanation:

1 Peter 5:6-8

Humble yourselves, therefore, under God’s mighty hand, that he may lift you up in due time.  Cast all your anxiety on him because he cares for you.  Be alert and of sober mind. Your enemy the devil prowls around like a roaring lion looking for someone to devour.

Jesus loves you!!

yours in Christ!!!!

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