Commerce Exam > Commerce Videos > Mathematics (Maths) Class 11 > Trigonometric Functions of Sum & Difference of Two Angles
Trigonometric Functions of Sum & Difference of Two Angles Video Lecture | Mathematics (Maths) Class 11 - Commerce
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FAQs on Trigonometric Functions of Sum & Difference of Two Angles Video Lecture - Mathematics (Maths) Class 11 - Commerce
| 1. What are the trigonometric functions of the sum of two angles? |  |
Ans. The trigonometric functions of the sum of two angles are given by:
- Sin(A + B) = Sin A * Cos B + Cos A * Sin B
- Cos(A + B) = Cos A * Cos B - Sin A * Sin B
- Tan(A + B) = (Tan A + Tan B) / (1 - Tan A * Tan B)
| 2. What are the trigonometric functions of the difference of two angles? | |
Ans. The trigonometric functions of the difference of two angles are given by:
- Sin(A - B) = Sin A * Cos B - Cos A * Sin B
- Cos(A - B) = Cos A * Cos B + Sin A * Sin B
- Tan(A - B) = (Tan A - Tan B) / (1 + Tan A * Tan B)
| 3. How can I find the value of Sin(A + B) if I know the values of Sin A and Sin B? | |
Ans. To find the value of Sin(A + B) using the values of Sin A and Sin B, you can use the trigonometric identity: Sin(A + B) = Sin A * Cos B + Cos A * Sin B. Plug in the known values of Sin A and Sin B into this formula and evaluate it to find the desired value.
| 4. Can I simplify the expression Cos(A + B) further? | |
Ans. Yes, the expression Cos(A + B) can be simplified further using the trigonometric identity: Cos(A + B) = Cos A * Cos B - Sin A * Sin B. If you have specific values for Cos A and Cos B, you can substitute them into the formula and simplify the expression using basic arithmetic operations.
| 5. How can I find the value of Tan(A - B) if I know the values of Tan A and Tan B? | |
Ans. To find the value of Tan(A - B) using the values of Tan A and Tan B, you can use the trigonometric identity: Tan(A - B) = (Tan A - Tan B) / (1 + Tan A * Tan B). Substitute the known values of Tan A and Tan B into this formula and simplify it to find the desired value.
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Dec 25, 2024 Last updated |
Video Description: Trigonometric Functions of Sum & Difference of Two Angles for Commerce 2024 is part of Mathematics (Maths) Class 11 preparation.
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