Maharashtra State BoardSSC (English Medium) 9th Standard
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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, (I) Sin X (Ii) Tan Z (Iii) Cos X (Iv) Tan X. - Geometry

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Sum

In the right angled `triangle` XYZ, `angle`XYZ = 90° and a, b, c are the lengths of the sides as shown in the figure. Write the following ratios,
(i) sin X (ii) tan Z (iii) cos X (iv) tan X.

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Solution

(i) Sin X = `"Opposite side of ∠ X"/"Hypotenuse"` = `["YZ"]/["XZ"]` = `a/c`

(ii) tan Z = `"Opposite side of ∠ Z"/"Adjacent Side of ∠ Z"` = `["XY"]/["YZ"]` = `b/a`

(iii) Cos X = `"Adjacent Side of ∠ Z"/"Hypotenuse"` = `["XY"]/["XZ"]` = `b/c`

(iv) tan X = `" Opposite side of ∠X"/"Adjacent Side of ∠X"` = `"YZ"/"XY"` = `a/b`

Concept: Terms related to right angled triangle
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APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 8 Trigonometry
Practice Set 8.1 | Q 2 | Page 104
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