Trigonometric Functions Class 11

Trigonometric Functions Class 11 – If radius r is the radius of circle and an arc of length l units subtends an angle \(\theta\) radians, then \(l=r\theta\). 1 Radian = \(\frac{\pi }{180}\) degree and 1 Degree = \(\frac{180 }{\pi}\) radian. Trigonometric Equations are equations involving trigonometric functions of a variable. Principal solution of a trigonometric equation is a solution for which \(0 \leq x < 2π\). The expression involving integer ‘n’ that gives all solutions of a trigonometric equation is called the general solution.

Some trigonometric Identities:

  1. \(cos^{2}x+sin^{2}x=1\)
  2. \(sec^{2}x-tan^{2}x=1\)
  3. \(cosec^{2}x-cot^{2}x=1\)
  4. \(cos(2n\pi +x)=cos x\)
  5. \(sin(2n\pi +x)=sin x\)
  6. \(cos(-x)=cos x\)
  7. \(sin(-x)=-sin x\)
  8. \(cos(x+y)=cos\;x\;\;cos\;y\;-\;sin\;x\;\;sin\;y\)
  9. \(cos(x-y)=cos\;x\;\;cos\;y\;+\;sin\;x\;\;sin\;y\)
  10. \(sin(x+y)=sin\;x\;\;cos\;y\;+\;cos\;x\;\;sin\;y\)
  11. \(sin(x-y)=sin\;x\;\;cos\;y\;-\;cos\;x\;\;sin\;y\)
  12. \(cos\;2x=cos^{2}x-sin^{2}x=2cos^{2}x-1=1-2sin^{2}x=\frac{1-tan^{2}x}{1-tan^{2}x}\)
  13. \(sin\;2x=2cosx\;.\;sinx=\frac{2tanx}{1+tan^{2}x}\)

Trigonometric Functions Class 11 Examples

Trigonometric Functions Class 11
Trigonometric Functions Class 11
Trigonometric Functions Class 11
Trigonometric Functions Class 11
Trigonometric Functions Class 11
Trigonometric Functions Class 11
Trigonometric Functions Class 11


Practise This Question

If r, s, t are prime numbers and p, q are the positive integers such that the LCM of p, q is r2t4s2 then the number of ordered pair (p, q) is