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A-MTH Trigonometry (Quick)

發問:

1. (a) If cosθ + ㄏ3 sinθ = r cos (θ-a), where r>0 and 0<_a find r and a. let x="1/(cosθ" sin the range of values x.2. by using identity cos3 cos general solution equation sin2 general... if where>0 and 0<_a find r and a. let x="1/(cosθ" sin the range of values x. by using identity cos3 cos general solution equation sin2 giving answer correct to nearest degree.>
最佳解答:

1a)cosθ + ㄏ3 sinθ = r cos (θ-a) ㄏ(ㄏ3)^2+1^2 cos (θ-a)= r cos (θ-a) 2cos (θ-a)= r cos (θ-a) r=2 tan a=ㄏ3/1 a=60 or a=240(rejected) b)x = 1/(cosθ + ㄏ3 sinθ +5) consider the result of a, x=1/(cosθ + ㄏ3 sinθ +5) x=1/2cos (θ-60)+5 because -1
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