Related InterviewSolutions

• Solve the following equations : sin x + sin 2x + sin 3x = 0
• Solve the following equations:(i) tan x + tan 2x + tan 3x = 0(ii) tan x + tan 2x = tan 3x(iii) tan 3x + tan x = 2 tan 2x
• If 4 sin2 x = 1, then the values of x areA. 2nπ ± \(\frac{π}3\),n ∈ Z.B.  nπ ± \(\frac{π}3\),n ∈ Z.C.  nπ ± \(\frac{π}6\),n ∈ Z.D. 2nπ ± \(\frac{π}6\),n ∈ Z.
• If cos x + √3 sin x = 2, then x = A. \(\frac{π}3\)B. \(\frac{2π}3\)C. \(\frac{4π}3\)D.\(\frac{5π}3\)
• Write the general solution of tan2 2x = 1.
• If and 0 < x < 2 π, then the solution areA. x = \(\frac{π}3\),\(\frac{4π}3\)B.  x = \(\frac{2π}3\),\(\frac{4π}3\)C.  x = \(\frac{2π}3\),\(\frac{7π}6\)D. x = \(\frac{2π}3\),\(\frac{5π}3\)
• The solution of the equation cos2 x + sin x + 1 = 0 lies in the interval A. (- \(\frac{π}4\),\(\frac{π}4\) ) B. (- \(\frac{π}3\), \(\frac{π}4\)) C. (\(\frac{3π}4\), \(\frac{5π}4\)) D. (\(\frac{5π}4\), \(\frac{7π}4\))
• Write the number of solutions of the equation 4 sin x – 3 cos x = 7.
• Write the set of values of a for which the equation √3 sin x – cos x = a has no solution.
• If cos x = k has exactly one solution in [0, 2 π], then write the value(s) of k.