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Prove that sin7x + sin5x + sin3x + sinx ...

Prove that `sin7x + sin5x + sin3x + sinx = 4cosx cos2x sin4x`

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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. The value of underset(|x| rarr oo)("lim") cos (tan^(-1) (sin (tan^(-1)...

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  2. Complete solution set of (cot^(-1)x)+2(tan^(-1)x)=0, where [] denotes ...

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  3. Prove that sin7x + sin5x + sin3x + sinx = 4cosx cos2x sin4x

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  4. If asin^(-1)x-bcos^(-1)x=c , then asin^(-1)x+bcos^(-1)x is equal to

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  5. The number of integer x satisfying sin^(-1) |x -2| + cos^(-1) (1 -|3 -...

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  6. The value of alpha such that sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),...

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  7. Prove that (cos^3x - sin^3x)/(cosx - sinx) = (2 + sin2x)/2

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  8. If alpha is the only real root of the equation x^(3) + bx^(2) + cx + 1...

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  9. Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , ...

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  10. Let f(x)= cos^(-1) ((1-x^2)/(1+x^2))= 2 tan^(-1)x x ge 0 , =-2 tan^(-1...

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  11. Let f(x)= sin^(-1)((2x)/(1+x^2))AAx in R. The function f(x) is continu...

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  12. Let f: Rvec[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the s...

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  13. Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x. Then the sum of the max...

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  14. If tan^(-1) . b/(c+a) + tan^(-1) . (c)/(a + b) = pi/4where a, b, c , a...

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  15. Solutions of sin^(-1) (sinx) = sinx are if x in (0, 2pi)

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  16. The equation e^(sin^(-1)x)/pi=y/(log y) has

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  17. Let f(x) =1+2sin(e^x/(e^x+1)) x ge 0 then f^(-1)(x) is equal to (assu...

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  18. cos^(-1) (cos (2 cot^(-1) (sqrt2 -1))) is equal to

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  19. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3)) is

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  20. If tan^(-1)(sqrt(1+x^2-1))/x=4^0 then x=tan2^0 (b) x=tan4^0 x=tan1/4...

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