Which statement about 214° is correct?

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.
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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