Question

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?

Answer 1

tan A = 1/2

cos B = √5/5

csc B = √5/2

Step-by-step explanation: I took the test

Answer 2

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

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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