1c:I[1254,["7330","static/chunks/d3ac728e-78c3d5d7a486ed3a.js","5159","static/chunks/5159-48592f0bf1a47f9d.js","8175","static/chunks/8175-f84d59b9bd013e10.js","8167","static/chunks/8167-b25693a0140130f2.js","664","static/chunks/664-bceb0f356f9312eb.js","3703","static/chunks/app/practice-question/%5Bslug%5D/page-d1408559b663b83f.js"],"PracticeQuestionCard"] 1b:T4b8,{"@context":"https://schema.org","@type":"QAPage","name":"Evaluate the following expression in terms of trigonometric ratios. ^…","url":"https://vidyalelo.com/practice-question/evaluate-the-following-expression-in-terms-of-trigonometric-ratios-cot-pow-2a-sec-a-1-1-sin-a-255086","keywords":"practice questions, MCQ, MCQs with answers, objective questions, competitive exam questions, Competitive Exams, Competitive Exams MCQ, Competitive Exams MCQs, Competitive Exams questions, Competitive Exams practice questions, Aptitude, Aptitude MCQ, Aptitude MCQs, Aptitude questions, Aptitude practice questions, Trigonometry","mainEntity":{"@type":"Question","name":"Evaluate the following expression in terms of trigonometric ratios. ^…","text":"Evaluate the following expression in terms of trigonometric ratios. ^2A ( A - 1 )1 + A","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option B. ^2A ( 1 - A )1 + A. Answer & Solution Answer: Option B Solution: & ^2A ( A - 1 ) ( 1 + A ) & = ^2A ( 1 - A ) ^2A ( 1 + A ). A & = ( 1 - ^2A ) ( 1 - ^2A ) × ( 1 - A ) ( 1 + A ). A & = ( 1 + A ) ( 1 - A ). ( 1 - A ) ( 1 + A ) ( 1 - A ). ( 1 + A ). A & = A ( 1 - A ) ( A + 1 ) A & = ^2A ( 1 - A ) ( 1 +…"}}}1d:T4bb,

Answer & Solution

Answer: Option B

Solution:

$$\eqalign{ & \frac{{{{\cot }^2}A\left( {\sec A - 1} \right)}}{{\left( {1 + \sin A} \right)}} \cr &