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Question
In the right angled Δ XYZ, ∠XYZ = 90° and a, b, c are the lengths of the sides as shown in the figure. Write the following ratios,
- sin X
- tan Z
- cos X
- tan X.
Solution
- sin X = `"Opposite side of ∠ X"/"Hypotenuse" = ["YZ"]/["XZ"] = a/c`
- tan Z = `"Opposite side of ∠ Z"/"Adjacent Side of ∠ Z" = ["XY"]/["YZ"] = b/a`
- cos X = `"Adjacent Side of ∠ X"/"Hypotenuse" = ["XY"]/["XZ"] = b/c`
- tan X = `" Opposite side of ∠X"/"Adjacent Side of ∠X" = "YZ"/"XY" = a/b`
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