Chapter 7 · Class 10 ICSE · Formula Sheet

Trigonometry Formulas — Class 10 ICSE

Prove trigonometric identities and solve problems on heights and distances.

Key Formulas

All Ratios

\sin, \cos, \tan, \csc, \sec, \cot

Identity 1

\sin^2\theta + \cos^2\theta = 1

Identity 2

1 + \tan^2\theta = \sec^2\theta

Identity 3

1 + \cot^2\theta = \csc^2\theta

Heights & Distances

\tan\theta = \dfrac{\text{height}}{\text{distance}}

Worked Examples

1Using: sin 30

Find sin 30 + cos 60.

Step 1: sin 30 = 1/2, cos 60 = 1/2.

Step 2: Sum = 1/2 + 1/2 = 1.

Answer: 1

2Using: tan identity

If tan A = 3/4, find sin A.

Step 1: In right triangle: opposite = 3, adjacent = 4.

Step 2: hypotenuse = 5. sin A = 3/5.

Answer: 3/5

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More Class 10 ICSE Formulas

Commercial Mathematics (Banking & GST)Quadratic EquationsCoordinate GeometrySimilarityCircles (Tangents & Secants)Mensuration (3D Solids)

Frequently Asked Questions

How many formulas are in Class 10 ICSE Trigonometry?+
There are 5 formulas in the Trigonometry chapter for Class 10 ICSE. Each formula is essential for solving problems in this topic.
How to remember Trigonometry formulas easily?+
Practice regularly with worked examples, group related formulas together, and use SparkEd's interactive practice mode to reinforce your memory through problem-solving.
Are these Trigonometry formulas enough for exams?+
Yes, these formulas cover the complete ICSE Class 10 syllabus for Trigonometry. Practice applying them to different types of questions for full exam readiness.

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