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Show that tan^-1((cosx)/(1 + sin x)) = p...

Show that `tan^-1((cosx)/(1 + sin x)) = pi/4 - x/2` , where `x in (-pi/2 , pi/2)`

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PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
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  2. Solve for x, y and z : sin^2 x + cos^2 y = 2 sec^2 z

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  3. Show that tan^-1((cosx)/(1 + sin x)) = pi/4 - x/2 , where x in (-pi/2 ...

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  4. Determine all possible values of 'a' for which the equation cos^4 x - ...

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  5. Find the coordinates of the points of intersection of the curves y = c...

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  6. Solve : 3 tan^2 theta - 4sqrt3 tan theta + 3= 0 , find the acute angle

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  7. Solve for x : 8^(1 + abs(cos x) +abs( cos^2 x) + abs(cos^3 x)+.....inf...

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  8. Solve the equation, (tan x)^(cos^2 x) = (cot x)^(sin x)

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  9. Find the sum of infinite series : S = sin^-1(1/sqrt2) + sin^-1((sqrt2 ...

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  10. Find the number of solutions of (x , y),which satisfy absy = sin x and...

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  11. If 0lt thetalt 2pi, then the intervals of values of theta for which 2...

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  12. The no. of solution(s) of the equation 3(sinx+cosx)-2(sin^3x+cos^3x)=8...

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  13. The number of all possible ordered pairs (x, y), x, y in R satisfying ...

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  14. Find the general solution of the equation sin 3 alpha = 4 sin alpha si...

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  15. The general solution of the equation 7cos^2x+sinxcosx-3=0 is given by

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  16. The value of tan^-1 1+tan^-1 2+ tan^-1 3 is

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  17. If sin^-1x+sin^-1y=(2pi)/3, then cos^-1x+cos^-1y=

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  18. sincot^-1 costan^-1 2=

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  19. The value of sin^-1(cos(sin^-1x))+cos^-1(sin(cos^-1x)) where absx le 1...

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  20. If sin^-1(sin5) gt x^2-4x, then find number of all possible integer va...

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