Skip to content
Philoid
Browse Saved
Back to chapter
Maths
11. Trigonometric Equations
Home · Class 11 · Maths · Ref. Book · 11. Trigonometric Equations
Prev
Next
Q5 of 142 Page 11

If cos x = k has exactly one solution in [0, 2 π], then write the value(s) of k.

As cos x = cos θ


Then x=2nπ ± θ


And it is said that it has exactly one solution.


So θ=0 and



=nπ


In the given interval taking n=1,x=π {n=0 is not possible as cos 0 = 1 not -1 but cos π is -1}


More from this chapter

All 142 →
3

Write the general solution of tan2 2x = 1.

4

Write the set of values of a for which the equation √3 sin x – cos x = a has no solution.

6

Write the number of points of intersection of the curves 2y = 1 and y = cos x, 0 ≤ x ≤ 2π.

7

Write the values of x in [0, π] for which and cos 2x are in A.P.

Questions · 142
11. Trigonometric Equations
1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved