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  1. The value of sec2 17° –
    1
    – sin 17° sec 73° is
    tan273°
    1. 1
    2. 0
    3. –1
    4. 2
Correct Option: B

sec2 17° –
1
– 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]



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