Ex 3.3, 8 - Chapter 3 Class 11 Trigonometric Functions
Last updated at Feb. 12, 2020 by Teachoo
Transcript
Ex 3.3, 8 Prove that cosβ‘γ (Ο + π₯) cosβ‘γ(β π₯)γ γ/(sinβ‘γ (Ο β π₯)γ cosβ‘γ"(" Ο/2 " + " π₯")" γ ) = cot2 π₯ Taking L.H.S. πππ β‘γ(π + π₯) γπππ γβ‘γ(βπ₯)γ γ/(π ππβ‘(π β π₯) πππ β‘γ"(" π/2 " + " π₯")" γ ) Putting Ο = 180Β° = πππ β‘γ(180Β° + π₯) γπππ γβ‘γ(βπ₯)γ γ/(π ππβ‘(180Β° β π₯) πππ β‘γ"(" 90Β° "+ " π₯")" γ ) Using cos (180Β° + x) = βcos x cos (βx) = cos x sin (180Β° β x) = sin x & cos(90Β° + x) = βsin x = (βπππ β‘γπ₯ Γ πππ β‘π₯ γ)/((sinβ‘γπ₯) Γγ(βsinγβ‘π₯) γ ) = (βπππ 2π₯)/(βπ ππ2π₯) = cot2x = R.H.S. Hence proved
Ex 3.3
Ex 3.3, 1
Ex 3.3, 2 Important
Ex 3.3, 3 Important
Ex 3.3, 4
Ex 3.3, 5 Important
Ex 3.3, 6 Important
Ex 3.3, 7
Ex 3.3, 8 Important You are here
Ex 3.3, 9 Important
Ex 3.3, 10
Ex 3.3, 11 Important
Ex 3.3, 12
Ex 3.3, 13
Ex 3.3, 14
Ex 3.3, 15
Ex 3.3, 16
Ex 3.3, 17
Ex 3.3, 18 Important
Ex 3.3, 19
Ex 3.3, 20
Ex 3.3, 21 Important
Ex 3.3, 22 Important
Ex 3.3, 23 Important
Ex 3.3, 24
Ex 3.3, 25
Chapter 3 Class 11 Trigonometric Functions
Serial order wise
- Ex 3.1
- Ex 3.2
-
Ex 3.3
- Ex 3.4
- Examples
- Miscellaneous
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.