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4. Prove that: (left(cos{x}-cos{y}right)^2+left(sin{x}-sin{y}right)^2=4{sin}^2{frac{x-y}{2}}). Trigonometric Functions Miscellaneous Exercise Previous Next Class 11 Trigonometric Functions Miscellaneous Exercise 1. Prove that: (2cos{frac{pi}{13}}cos{frac{9pi}{13}}+cos{frac{3pi}{13}}+cos{frac{5pi}{13}}=0). 2. Prove that: (left(sin{3x}+sin{x}right)sin{x}+left(cos{3x}-cos{x}right)cos{x}=0). 3. Prove that: (left(cos{x}+cos{y}right)^2+left(sin{x}-sin{y}right)^2=4{cos}^2{frac{x+y}{2}}). 4. Prove that: (left(cos{x}-cos{y}right)^2+left(sin{x}-sin{y}right)^2=4{sin}^2{frac{x-y}{2}}). 5. Prove that: (sin{x}+sin{3x}+sin{5x}+sin{7x}=4cos{x} cos{2x} sin{4x}). 6. Prove that:…

3. Prove that: (left(cos{x}+cos{y}right)^2+left(sin{x}-sin{y}right)^2=4{cos}^2{frac{x+y}{2}}). Trigonometric Functions Miscellaneous Exercise Previous Next Class 11 Trigonometric Functions Miscellaneous Exercise 1. Prove that: (2cos{frac{pi}{13}}cos{frac{9pi}{13}}+cos{frac{3pi}{13}}+cos{frac{5pi}{13}}=0). 2. Prove that: (left(sin{3x}+sin{x}right)sin{x}+left(cos{3x}-cos{x}right)cos{x}=0). 3. Prove that: (left(cos{x}+cos{y}right)^2+left(sin{x}-sin{y}right)^2=4{cos}^2{frac{x+y}{2}}). 4. Prove that: (left(cos{x}-cos{y}right)^2+left(sin{x}-sin{y}right)^2=4{sin}^2{frac{x-y}{2}}). 5. Prove that: (sin{x}+sin{3x}+sin{5x}+sin{7x}=4cos{x} cos{2x} sin{4x}). 6. Prove that:…

2. Prove that: (left(sin{3x}+sin{x}right)sin{x}+left(cos{3x}-cos{x}right)cos{x}=0). Trigonometric Functions Miscellaneous Exercise Previous Next Class 11 Trigonometric Functions Miscellaneous Exercise 1. Prove that: (2cos{frac{pi}{13}}cos{frac{9pi}{13}}+cos{frac{3pi}{13}}+cos{frac{5pi}{13}}=0). 2. Prove that: (left(sin{3x}+sin{x}right)sin{x}+left(cos{3x}-cos{x}right)cos{x}=0). 3. Prove that: (left(cos{x}+cos{y}right)^2+left(sin{x}-sin{y}right)^2=4{cos}^2{frac{x+y}{2}}). 4. Prove that: (left(cos{x}-cos{y}right)^2+left(sin{x}-sin{y}right)^2=4{sin}^2{frac{x-y}{2}}). 5. Prove that: (sin{x}+sin{3x}+sin{5x}+sin{7x}=4cos{x} cos{2x} sin{4x}). 6. Prove that:…

1. Prove that: (2cos{frac{pi}{13}}cos{frac{9pi}{13}}+cos{frac{3pi}{13}}+cos{frac{5pi}{13}}=0). Trigonometric Functions Miscellaneous Exercise Previous Next Class 11 Trigonometric Functions Miscellaneous Exercise 1. Prove that: (2cos{frac{pi}{13}}cos{frac{9pi}{13}}+cos{frac{3pi}{13}}+cos{frac{5pi}{13}}=0). 2. Prove that: (left(sin{3x}+sin{x}right)sin{x}+left(cos{3x}-cos{x}right)cos{x}=0). 3. Prove that: (left(cos{x}+cos{y}right)^2+left(sin{x}-sin{y}right)^2=4{cos}^2{frac{x+y}{2}}). 4. Prove that: (left(cos{x}-cos{y}right)^2+left(sin{x}-sin{y}right)^2=4{sin}^2{frac{x-y}{2}}). 5. Prove that: (sin{x}+sin{3x}+sin{5x}+sin{7x}=4cos{x} cos{2x} sin{4x}). 6. Prove that:…