Lesson#2 [ Tool kit for Ex-9.4 , Question No. 2 ,Question No. 7 , Question No. 1 ]

Lesson#2 Question No. 2 ,Question No. 7 , Question No. 1
Toolkit for Exercise 9.4
1) cosec θ=1/sin⁡θ
2) sec θ=1/cos⁡θ
3) cot θ=1/tan⁡θ
4) tan θ=(sin θ)/cos⁡θ
5) cot θ=(cos θ)/sin⁡θ
6) sin^2 θ+cos^2 θ=1
Math.Ex.9.4, Part2-9.4,
7) sec^2 θ=1+tan^2 θ
8) csc^2 θ=1+cot^2 θ
9) (+)^2=^2+2+^2
10) ^2−^2=(+)(−)
11) a^3+b^3=(a+b)(a^2−ab+b^2)
12) a^3−b^3=(a−b)(a^2+ab+b^2)
Prove the following identity:
Question No. 2
Q2: cosec θ sec θ sin⁡θ cos⁡θ=1
Question No. 7
Q7: (sec θ+tan θ)(sec θ−tan θ)=1
Question No. 1
Q1: tan⁡θ+cot⁡θ=cosec θ sec θ
Exercise No. 9.4
Chapter No.9
Fundamentals of Trignometry
maths
part 1