sec2θ - cot2(90°- θ) का मान क्या है?

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Option 2 : 1
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दिया गया​ है:

sec2θ - cot2(90°- θ)

प्रयुक्त संकल्पना:​

त्रिकोणमिति के प्रथम चतुर्थांश के अनुसार,

cosec (90 - θ) = sec θ और cot (90 - θ) = tan θ

त्रिकोणमितीय सर्वसमिकाओं के अनुसार,

sec2 θ - tan2 θ = 1

गणना:

⇒ sec2θ - cot2(90°- θ)

sec2θ - tan2(θ)

⇒ 1

उत्तर 1 है। 

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