0 Deepak BoraNewbie Asked: July 10, 20202020-07-10T20:00:38+05:30 2020-07-10T20:00:38+05:30In: CBSE Introduction to trigonometry : If tan θ + cot θ = 5, find the value of tan²θ + cot²θ. 0 If tan θ + cot θ = 5, find the value of tan²θ + cot²θ. chapter 8trigonometrytrigonometry identitiestrigonometry proving Share Facebook 1 Answer Voted Oldest Recent Deepak Bora Newbie 2020-07-13T23:45:38+05:30Added an answer on July 13, 2020 at 11:45 pm tan θ + cot θ = 5 Squaring both sides (tan θ + cot θ )²= (5)² tan² θ + cot² θ +2tan θ.cot θ = 25 tan² θ + cot² θ = 25-2 ( tan θ.cot θ = 1) ∴ tan² θ + cot² θ = 23 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment. Related Questions If tanθ=4/3, show that (sinθ+cosθ)=7/5 If cosec θ= 2 show that (cot θ + sin θ / 1 + cos θ) = 2 If 15cotA = 8, find the values of sin A and secA. If sin θ= √3/2, find the value of all T-ratios of θ A T.V. Tower stands vertically on a bank of a river. From a point on the other bank ...

tan θ + cot θ = 5

Squaring both sides

(tan θ + cot θ )²= (5)²

tan² θ + cot² θ +2tan θ.cot θ = 25

tan² θ + cot² θ = 25-2 ( tan θ.cot θ = 1)

∴ tan² θ + cot² θ = 23