Question
Download Solution PDF(cosec A - sin A)2 + (sec A - cos A)2 - (cot A - tan A)2 का सरलीकृत मान क्या है ?
(a) 0
(b) 1
(c) -1
(d) 2
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
हमारे पास है,
⇒ (cosec A - sin A)2 + (sec A - cos A)2 - (cot A - tan A)2
मान लीजिए, A = 45°
⇒ (cosec 45° - sin 45°)2 + (sec 45° - cos 45°)2 - (cot 45° - tan 45°)2
⇒ (√2 - 1/√2)2 + (√2 - 1/√2)2 - (1 - 1)2
⇒ 2(√2 - 1/√2)2
⇒ 2(2 + 1/2 - 2)
⇒ 2 × 1/2 = 1
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