Based on the information provided in the first table, we have the following angle and trigonometric function:
- θ = 60°
- sin60 = √3/2
- cos60 = 1/2
- csc60 = 2/√3
- sec60 = 2
- cot60 = 1/√3
How to complete the table of values?
Based on the information provided in the first table, we have the following trigonometric function:
tanθ = √3
θ = tan⁻¹(√3)
θ = 60°.
In radians, we have:
θ = 60 × π/180
θ = 1.0472 radian.
sin60 = √3/2
cos60 = 1/2
csc60 = 2/√3
sec60 = 2
cot60 = 1/√3
Based on the information provided in the second table, we have the following trigonometric function:
θ = 30 × π/180
θ = 0.5236 radian.
sin30 = 1/2
cos30 = √3/2
tan30 = 1/√3
csc30 = 2
sec30 = 2/√3
cot30 = √3
Based on the information provided in the third table, we have the following trigonometric functions:
sinθ = √2/2 tanθ = 1
θ = sin⁻¹(√2/2) θ = tan⁻¹(1)
θ = 45°. θ = 45°.
In radians, we have:
θ = 45 × π/180
θ = 0.7854 radian.
cos45 = √2/2
csc45 = √2
sec45 = √2
cot45 = 1
Based on the information provided in the fourth table, we have the following trigonometric function:
sinθ = 1
θ = sin⁻¹(1)
θ = 90°.
θ = 90 × π/180
θ = 1.5708 radian.
cos90 = 0
tan90 = not defined
csc90 = 1
sec90 = not defined
cot90 = 0
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