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05 - Basic Trigonometric Identities - Class 10 - Maths Video Lecture
FAQs on 05 - Basic Trigonometric Identities - Class 10 - Maths Video Lecture
| 1. What are the basic trigonometric identities? |  |
Ans. The basic trigonometric identities include the Pythagorean identities, reciprocal identities, quotient identities, and cofunction identities. These identities are used to relate the values of trigonometric functions of an angle with each other.
| 2. What is the Pythagorean identity? | |
Ans. The Pythagorean identity is a trigonometric identity that states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In terms of trigonometric functions, it can be written as sin^2θ + cos^2θ = 1.
| 3. How are reciprocal identities used in trigonometry? | |
Ans. Reciprocal identities in trigonometry are used to express one trigonometric function in terms of its reciprocal. For example, the reciprocal of sine is cosecant, the reciprocal of cosine is secant, and the reciprocal of tangent is cotangent. These identities allow us to simplify trigonometric expressions and solve equations.
| 4. What are the quotient identities in trigonometry? | |
Ans. The quotient identities in trigonometry are used to express the ratios of trigonometric functions in terms of each other. The two main quotient identities are:
- Tangent identity: tanθ = sinθ / cosθ
- Cotangent identity: cotθ = cosθ / sinθ
These identities are helpful in simplifying trigonometric expressions and solving equations involving trigonometric functions.
| 5. How can cofunction identities be applied in trigonometry? | |
Ans. Cofunction identities in trigonometry relate the values of complementary angles. The main cofunction identities are:
- Sine and cosine: sin(90° - θ) = cosθ
- Cosine and sine: cos(90° - θ) = sinθ
- Tangent and cotangent: tan(90° - θ) = cotθ
- Cotangent and tangent: cot(90° - θ) = tanθ
These identities are useful in finding the values of trigonometric functions for angles that are complementary to known angles.
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Dec 23, 2024 Last updated |
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