Introduction To Trigonometry
NIOS · Class 10 · Maths
Complete topic list for Introduction To Trigonometry in NIOS Class 10 Maths. Key concepts, sub-topics, and what to focus on for board exams.
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1. Trigonometric Ratios in a Right Triangle
- In right triangle ABC right-angled at B, AC is the hypotenuse.
- For angle A = theta, BC is the side opposite to angle A and AB is the side adjacent to angle A.
- The six trigonometric ratios are sin theta, cos theta, tan theta, cosec theta, sec theta, and cot theta.
2. Finding Ratios from Given Sides
- When two sides of a right triangle are known, use Pythagoras Theorem to find the third side first.
- After finding the third side, substitute the values into the trigonometric ratio formulas.
- This method is used in many direct question types.
3. Relations Among Trigonometric Ratios and Standard Values
- tan theta equals sin theta divided by cos theta.
- cot theta equals cos theta divided by sin theta and also 1/tan theta.
- sec theta equals 1/cos theta.
4. Trigonometric Identities
- An equation is true for some values of the variable.
- An identity is true for all values of the variable.
- The three fundamental trigonometric identities are central to the chapter.
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