Solve √(√3 cos x + sin x - 2) + √(cot 3x + sin^2 x - 1/4) = sin (3x/2) + √2/2?

^- raised to

Answer: (24n + 13)π/6 , n belongs to Z

How to solve this? My answer is not matching.

Any help would be appreciated.

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- Jun 23rd 2008, 06:26 AMfardeen_gen[SOLVED] A challenging trigonometric equation?
**Solve √(√3 cos x + sin x - 2) + √(cot 3x + sin^2 x - 1/4) = sin (3x/2) + √2/2?**

^- raised to

Answer: (24n + 13)π/6 , n belongs to Z

How to solve this? My answer is not matching.

Any help would be appreciated. - Jun 23rd 2008, 12:00 PMred_dog
The equation can be written as

We have to put the condition . But .

Then .

Now

so, the left hand member of the equation is equal to 0.

Then - Jun 27th 2008, 08:59 PMfardeen_gen
Can anyone explain the last step?

- Jun 28th 2008, 12:42 AMred_dog

Then must be odd:

Now