(1)Using the identity tan2x = 2tanx / 1-tan²x , find the general solution of tan²x -2√3tanx - 1 = 0 in radians.
(2) Find the gereral solution of the equation sinθ - sinθ/2 = 0 in radians.
(3)Find the gereral solution of the equation sin3θsinθ = sin7θsin5θin radians.
(4)Find the gereral solution of the equation sinθsin7θ + cos3θcos5θ =0 radians.
Numeral Answer::
(1) (nπ)/2 - π/12
(2) 2nπ , 4nπ± 2π/3
(3) (nπ)/8
(4) (nπ)/2 ±π/8 , nπ±π/4
更新1:
Question 5:: Find the gereral solution of the equation 16sin²x -sin2x +2cos²x = 4 in radians.Give your answer correct to 2 decimal places. Answer:: nπ - 0.32 , nπ + 0.46
更新2:
REMARKS::;不必回答question 4,但仍需回答question 1,2,3,5!!!