Trigonometric Functions of Sum & Difference of Two Angles

# Trigonometric Functions of Sum & Difference of Two Angles Video Lecture | Mathematics (Maths) for JEE Main & Advanced

## Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests

## FAQs on Trigonometric Functions of Sum & Difference of Two Angles Video Lecture - Mathematics (Maths) for JEE Main & Advanced

 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.

## Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests

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