Class 11 Maths Chapter 14 Notes
Important Complete Class 11 Maths Chapter 14 Notes written by Professor M. Sulman Sherazi Suib. These notes are very helpful in the preparation of Trigonometric Equations Class 11 for the students of Mathematics of the Intermediate and these are according to the paper patterns of all Punjab boards.
Summary and Contents:
Topics which are discussed in the notes are given below:
- Trigonometric Equations with examples
- Solution of trigonometric equations
- Our comprehensive Class 11 Maths Chapter 14 Notes will ensure you're fully prepared for your exams.
- Solve sinx + cosx = 0 such as tanx is -ve in ll and lV quadrants. Reference angle = x =pi / 4.
- So it is not solution. the general value of x is 3pi/4.
- Find the solution set of sinx cosx =3/4.
- x = 0, 2pi given equation is not satisfied. cosecx and cot x becomes undefined for x = 0 and x = 2pi. so that cosx is -ve in ll and lll quad.
- But x = 4pi/3 does nto satisfy given equation. So 4pi/3 is extraneous root. So solution set is {2pi/3 + 2npi}, n belong to Z.
- Find the solutions of the following equations which lie in [ 0, 2pi ].
- Solve the trigonometric equations tan2θ = 1/3. tanθ is +ve in l and lll quad. general values of θ are pi/6 + npi, 7pi/6 +npi, n belong to Z.
- Tanθ is -ve in ll and IV quad. Reference angle = θ = pi/ 6.
- Find the values of θ satisfying the following equations: 3tan2θ + 2tanθ + 1 = 0.
- Find the values of θ satisfying the following equation: 4 sin2 θ - 8 cosθ +1 = 0.
- Find the values of θ satisfying the following equation: cos2 θ - sin3 θ.
- Find the values of θ satisfying the following equation: sec3 θ = secθ. such that cosx is -ve in II and III quad. and reference angle = x = pi / 3.