Prove that1 minus cotA by 1 plus cot a equals cosecA minus cotA whole square

 

Answers (1)

To prove

 \\\frac{1-cos A}{1+cosA}=(cosecA-cotA)^2

???????\\\frac{1-cos A}{1+cosA}=\frac{(1-cosA)(1-cosA)}{(1+cosA)(1-cosA)}=\frac{(1-cosA)^2}{(1-cos^2A)}\\\\=\frac{1-2cosA+cos^2A}{sin^2A}\\\text{dividing numerator and denominator by }sin^2A\\\\\\\frac{1-cos A}{1+cosA}=\frac{1-2cosA+cos^2A}{sin^2A}=\frac{cosec^2A-2cotAcosecA+cot^2A}{1}\\\\=(cosecA-cotA)^2

Most Viewed Questions

Preparation Products

Knockout NEET May 2023 (Easy Installments)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 5499/-
Buy Now
Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout NEET Aug 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Knockout NEET Aug 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions