16Hit1600
Geometry and TrigonometryHardTangent from cosine

Geometry and Trigonometry practice question

For an acute angle θ, cos θ = 0.8. What is the value of tan θ?

Answer: 0.75 or 3/4

cos θ = 0.8 = 4/5 means adjacent 4, hypotenuse 5, so the opposite side is √(25 − 16) = 3. tan θ = opposite/adjacent = 3/4 = 0.75.

Common wrong answers

If you answered 0.6
0.6 is sin θ (3/5), not tan θ.
If you answered 1.33
1.33 is 4/3, adjacent over opposite — tan θ upside down.
If you answered 0.8
0.8 is cos θ itself.

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