Question

CONCEPT PREVIEW Match each trigonometric function value or angle in Column I with its appropriate approximation in Column II.
Column I: 1.
tan 16°
Column II:
A. 88.09084757°
B. 63.25631605°
C. 1.909152433°
D. 17.45760312°
E. 0.2867453858
F. 1.962610506
G. 14.47751219°
H. 1.015426612
I. 1.051462224
J. 0.9925461516

Accepted Answer

Identify which items in Column I are angles and which are trigonometric function values. Angles will be in degrees (°), while function values will be numerical approximations without the degree symbol. Recall the basic trigonometric functions and their approximate values for common angles. For example, calculate $$	an 16^\circ by $$using the formula $$	an 	heta = \frac{\sin 	heta}{\cos 	heta} or a $$calculator to find its decimal approximation. Match each angle in Column I with the closest numerical value in Column II that represents either the angle itself or the value of a trigonometric function at that angle. For example, if an angle is given, look for its approximate degree value; if a function value is given, find the corresponding decimal approximation. Use inverse trigonometric functions if necessary to find the angle corresponding to a given trigonometric value. For example, if you have a value like 1.909152433, you can find the angle $$	heta$$ such that $$	an 	heta = 1.909152433 by $$calculating $$	heta = 	an$$^{-1}$$(1.909152433). $$Systematically pair each item from Column I with the best matching approximation from Column II by comparing the calculated or known values, ensuring that each match is consistent with trigonometric principles.

Risposta video verificata per un problema simile:

Concetti chiave

Trigonometric Functions and Their Values

Inverse Trigonometric Functions

Angle Measurement and Approximation