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If cos^(-1) x + cos^(-1) y + cos^(-1) z...

If ` cos^(-1) x + cos^(-1) y + cos^(-1) z = pi" , prove that " x^(2) + y^(2)+ z^(2) + 2xyz = 1`.

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If (i) cos^(-1) x + cos^(-1) y + cos^(-1) z = pi , prove that : x^(2) +y^(2) +z^(2) + 2xyz = 1 (ii) If sin^(-1) x + sin^(-1) y + sin^(-1) z = pi/2 , prove that : x^(2) +y^(2) +z^(2) +2xyz = 1

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If cos^(-1)x + cos^(-1)y - cos^(-1) z = 0 , then show that x^(2) + y^(2) + z^(2) - 2xyz = 1

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If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi , then

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi , then

If cos^(-1)x+cos^(-1)y+cos^(-1)=pi, prove that x^(2)+y^(2)+z^(2)+2xyz=1

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MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-HARDER SOLVED EXAMPLES
  1. In /\ABC, if 3 a=b + c, then cot(B/2) \ cot(C/2) =

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  2. In a /\ABC, if A,B,C are in A.P., then: a/c (sin 2C) + c/a (sin 2A) ...

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  3. If cos^(-1) x + cos^(-1) y + cos^(-1) z = pi" , prove that " x^(2) + ...

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  4. If cos^(-1)(x/a) + cos^(-1) (y/b) = alpha show that : (x^2)/(a^2) - (...

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  5. Prove that tan{(pi)/4 + 1/2 Cos^(-1)((a)/(b))}+tan{((pi)/4-1/2 Cos^(-1...

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  6. If 0<a1<a2<ddot<an , then prove that tan^(-1)((a1x-y)/(x+a1y))+tan^(-1...

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  7. If a(1), a(2), a(3),...., a(n) is an A.P. with common difference d, th...

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  8. If alpha = tan^(-1) ((xsqrt(3))/(2y - x)) and beta = tan^(-1) ((2x - y...

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  9. Find the period of the function f(x) = tan (3x + 5).

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  10. Find the period of (i) sin 3x + cos 3x

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  11. Find the period of sin 5x - cos 5x.

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  12. Find the period of the function f(x) = sin((pi x)/3) + cos ((pi x)/2...

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  13. If m tan(alpha-theta)/( cos^2 theta) = n (tan theta)/ (cos^2 (alpha -...

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  14. Show that cos^(-1) ((cos alpha+cos beta)/(1+cosalpha cosbeta))=2 tan^(...

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  15. tan[2.tan^(-1)(1/5)- pi/4]=

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  16. tan [cos^(-1)((4)/(5)) +tan ^(-1)((2)/(3))]=....

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  17. Solution of the equation tan^(-1)(2x) + tan^(-1)(3x) = pi/4

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  18. If sin^(-1)(x/5) + cosec^(-1) (5/4) = pi/2 , then the value of x is

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  19. cot[csc^(-1)(5/3) + tan^(-1)(2/3)] = ....

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  20. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

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