Question

Find the tangent for the following angles: 10°, 40°, 50°, 70°

a.tan(10 ∘), tan(40∘),tan(50∘), tan(70∘ )
b.tan(20∘), tan(60∘),tan(30∘ ), tan(80∘)
c.tan(30∘), tan(45∘ ), tan(60∘), tan(75∘)
d.tan(15∘), tan(50∘), tan(70∘), tan(90 ∘)

Answer 1

To find the tangents of angles such as 10°, 40°, 50°, and 70°, one should use a scientific calculator to directly get the tangent values or refer to standard trigonometric values for commonly known angles such as 30°, 45°, and 60°.

Step-by-step explanation:

Finding the tangent of an angle in trigonometry involves using the tangent function, which is the ratio of the opposite side to the adjacent side of a right-angled triangle. For angles like 10°, 40°, 50°, and 70°, you would typically use a scientific calculator or trigonometric tables to find their tangents directly. However, for the sake of this explanation, we will state that to find the tangents, you would input these angles into your calculator's tan function one by one and record the outputs.

For some angles such as 30°, 45°, and 60°, their tangents can be remembered from standard trigonometric values:

• tan(30°) = √3/3
• tan(45°) = 1
• tan(60°) = √3

For other angles not commonly memorized, a calculator will provide the most accurate result unless the trigonometric values are provided in a table or already known.