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The value of sec2 17° – 1 – sin 17° sec 73° is tan273°
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- 1
- 0
- –1
- 2
Correct Option: B
sec2 17° – | – sin 17° sec 73° | |
tan273° |
= sec2 17° – cot273° – sin 17° . sec 73°
= sec2 17° – cot2 (90° – 17°) – sin 17° . sec (90° – 17°)
= sec2172 – tan2 17° – sin 17° . cosec 17°
= 1 – 1 = 0
[∵ cot (90° – θ) = tanθ ; sec (90° – θ) = cosec θ ; sec2θ – tan2θ = 1; sinθ . cosecθ = 1]