11.2k views
18 votes
Right Triangle ABC has its right angle at C, BC = 4, and AC= 8.

What is the value of the trigonometric ratio?

cos B
csc B
tan A

Drag a value to each box to match the trigonometric ratio?

User Gnikit
by
7.6k points

2 Answers

7 votes

Answer:

tan A = 1/2

cos B = √5/5

csc B = √5/2

Step-by-step explanation: I took the test

Right Triangle ABC has its right angle at C, BC = 4, and AC= 8. What is the value-example-1
User Payam Asefi
by
8.4k points
12 votes

9514 1404 393

Answer:

cos B = (√5)/5

csc B = (√5)/2

tan A = 1/2

Explanation:

The length of hypotenuse AB is given by the Pythagorean theorem:

AB² = AC² +BC²

AB² = 8² +4² = 64 +16 = 80

AB = √80 = 4√5

The mnemonic SOH CAH TOA can help you remember the needed ratios.

Cos = Adjacent/Hypotenuse

cos B = BC/AB = 4/(4√5)

cos B = (√5)/5

__

Sin = Opposite/Hypotenuse

csc = 1/sin = Hypotenuse/Opposite

csc B = AB/AC = (4√5)/8

csc B = (√5)/2

__

Tan = Opposite/Adjacent

tan A = BC/AC = 4/8

tan A = 1/2

User Temica
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories