Answer :

Answer:

A

Step-by-step explanation:

sin 214 = -0.5591

tan 214 = 0.6745

cos 214 = -0.8290

The correct statement about 214 degrees angle is sin 214 < 0 because sin 214 = -0.5591 and -0.5591 < 0 is true option (A) is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have statements:

sin 214 < 0

tan 214 < 0

cos 214 > 0

As we have given trigonometric ratio,

The trigonometric ratio can be defined as the ratio of the pair of a right-angled triangle.

From the trigonometric table:

sin 214 = -0.5591

tan 214 = 0.6745

cos 214 = -0.8290

Plug the above values in the inequality:

-0.5591 < 0 (true)

0.6745 < 0 (false)

-0.8290 > 0 (false)

Thus, the correct statement about 214 degrees angle is sin 214 < 0 because sin 214 = -0.5591 and -0.5591 < 0 is true option (A) is correct.

Learn more about trigonometry here:

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