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9. Values of Trigonometric Functions at Multiples and Submultiple of a
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Q30 of 123 Page 9

If and x is acute, find tan 2x.

Given:




We know,


sin2 x + cos2 x = 1


⇒ sin2 x = 1 – cos2 x








Since,



⇒sinx will be negative in first quadrant


So,



Now,





We know,









Hence, value of


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29

If and x lies in IInd quadrant, find the values of and

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0 ≤ x ≤ π and x lies in the IInd quadrant such that Find the values of and

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Questions · 123
9. Values of Trigonometric Functions at Multiples and Submultiple of a
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