2 tan / 30⁰ / sec 30⁰ - cosec 30⁰
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Given,
2 tan30⁰ / sec 30⁰ - cosec 30⁰
=2 tan30⁰ cos30⁰ - cosec 30⁰
=2.(sin30°/cos30°).cos30° - cosec30°
=2.sin30°- (1/cosec30°)
=(2.sin²30°-1)/cosec30°
= -(1-2sin²30°)/cosec30°
= -(cos2(30°))/cosec30°
= -(cos60°)/cosec30°
= -(1/2)/2
= -1/4 Ans.
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