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Ex 3.3, 7 - Chapter 3 Class 11 Trigonometric Functions (Term 2)
Last updated at March 22, 2023 by Teachoo
Ex 3.3
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Ex 3.3, 5 (ii)
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Ex 3.3, 7 You are here
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Chapter 3 Class 11 Trigonometric Functions
Serial order wise
- Ex 3.1
- Ex 3.2
-
Ex 3.3
- Ex 3.4
- Examples
- Miscellaneous
Transcript
Ex 3.3, 7 Prove that: (tan"(" π/4 " + " π₯")" )/(tan"(" Ο/4 " β " π₯")" ) = ((1+ tan" " π₯)/(1β tan" " π₯))^2 Solving L.H.S. (tanβ‘ (π/4 + π₯) )/tanβ‘(π/4 β π₯) Calculating L.H.S tanβ‘γ(π/4 + π₯)γ/tanβ‘γ( π/4 βπ₯)γ = ((1 + π‘ππβ‘π₯)/(1β π‘ππβ‘π₯ ))/((1 β tanβ‘x)/(1 + tanβ‘x )) = (1 + π‘ππβ‘π₯)/(1β π‘ππβ‘π₯ ) Γ (1 + π‘ππβ‘π₯)/(1β π‘ππβ‘π₯ ) = (1 + π‘ππβ‘π₯ )2/((1β π‘ππβ‘γπ₯)2γ ) = R.H.S Hence proved
