Question

Inverse Tangent Ratio for 30∘:

a. tan⁻¹(1/√3)
b. tan⁻¹(√3/1)
c. tan⁻¹(1/√2)
d. tan⁻¹(1)

Answer 1

Option A). The inverse tangent ratio for 30° is tan⁻¹(1/√3), which means the correct answer is option a.

Step-by-step explanation:

Which choice, according to the student, accurately depicts the inverse tangent ratio for 30°? A 30° angle's tangent is √3/3, which can be simplified to 1/√3. Consequently, 30° is the inverse tangent, or arctan, of 1/√3, which is the angle whose tangent value is a given number. When we know the neighboring side and the side opposite the angle, we can find the angle using the inverse tangent formula.Tangent's inverse is denoted by arctan or tan-1. The sine and cosine trigonometric functions/ratios are as follows. Therefore, a. tan⁻¹(1/√3) is the right response for the inverse tangent ratio for 30°.