Q. 6

# If then write the value of

Answer :

Given, for the value of

Consider,

[by using the formula cos 2x = cos^{2} x – sin^{2} x]

[by using the formula cos^{2} x + sin^{2} x = 1]

As already mentioned in the question, , x is in the 3^{rd} quadrant, where tangent function is positive.

Therefore,

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