(1)sin765(2)cos(-1020)(3)tan(97π/6)(4)cot(-39π/6)(5)sin(-120)tan(-120)+cos(-135)cot(420)+sin(3π/2)要用诱导公式!

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(1)sin765(2)cos(-1020)(3)tan(97π/6)(4)cot(-39π/6)(5)sin(-120)tan(-120)+cos(-135)cot(420)+sin(3π/2)要用诱导公式!
(1)sin765
(2)cos(-1020)
(3)tan(97π/6)
(4)cot(-39π/6)
(5)sin(-120)tan(-120)+cos(-135)cot(420)+sin(3π/2)
要用诱导公式!

(1)sin765(2)cos(-1020)(3)tan(97π/6)(4)cot(-39π/6)(5)sin(-120)tan(-120)+cos(-135)cot(420)+sin(3π/2)要用诱导公式!
sin764=sin(360*2+45)=sin45=√2/2
cos(-1020)=cos(360*3-1020)=cos60=1/2
tan(97π/6=tan(96π/6+π/6)=tan(π/6)=√3/3
cot(-39π/6)=cot(42π/6-39π/6)=cot(2/π)=0
sin(-120)tan(-120)+cos(-135)cot(420)+sin(3π/2)=
-sin(-120+180)tan(180-120)-cos(180-135)cot(420-360)-1
=-sin60tan60-cos45tan60-1
=-3/2-√6/2

sin765=sin(720+45)=sin45=√2/2
cos(-1020)=cos1020=cos(3*360+40)=cos40
tan(97π/6)=tan(16π+π/6)=tanπ/6=√3/3
cot(-39π/6)=-cot(39π/6)=-cot(6π+π/2)=-cot(π/2)=0
sin(-120)tan(-120)+cos(-135)cot(420)+sin(3π/2)
=(-sin60)tan60+(-cos45)cot60-1
=-√3/2*√3-√2/2*√3/3-1
=-3/2-√6/2

(1)sin765=sin(720+45)=sin45=√2/2
(2)cos(-1020)=cos(-1080+60)=cos60`=1/2
(3)tan(97π/6)=tan(96π/6+π/6)=tan(π/6)=√3/3
(4)cot(-39π/6)=cot(-48π/6+9π/6)=cot3π/2=0
(5)sin(-120)tan(-120)+cos(-...

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(1)sin765=sin(720+45)=sin45=√2/2
(2)cos(-1020)=cos(-1080+60)=cos60`=1/2
(3)tan(97π/6)=tan(96π/6+π/6)=tan(π/6)=√3/3
(4)cot(-39π/6)=cot(-48π/6+9π/6)=cot3π/2=0
(5)sin(-120)tan(-120)+cos(-135)cot(420)+sin(3π/2)
=(-sin120)(-tan120)+cos135cot(360+60)-1
=sin120tan120+cos135cot60-1
=sin(180-60)tan(180-60)+cos(180-45)√3/3-1
=sin60(-tan60)+(-cos45)*√3/3-1
=-3/2-√6/6-1
=-5/2-√6/6

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(1)sin765(2)cos(-1020)(3)tan(97π/6)(4)cot(-39π/6)(5)sin(-120)tan(-120)+cos(-135)cot(420)+sin(3π/2)要用诱导公式! 2(cos x)^2=1+cos 2x, 根号(1-cosθ/1+cosθ)+根号(1+cosθ/1-cosθ)θ属于(π/2,π) 4(cos+1)方-2cos方=4 怎么化成cos方+4cos=0 化简1+cos(a-360)cos(a-180)-2cos^2a 求证 1+sinα+cosα+2sinαcosα/求证 (1+sinα+cosα+2sinαcosα)/(1+sinα+cosα)=sinα+cosα 求证:(1+cosθ+cosθ/2) /(sinθ+sinθ/2)=sinθ/1-cosθ 化简(1+cosα+cos2α+cos3α)/(2cos²α+cosα-1) cos(α+β)*cos(α-β)=1/5,求cos^2(α)-sin^2(β) 用cos (A-B)=cosAcosB+sinAsinB 证明(推导) cos^2(a/2)= (1+cos a) / 2 已知α是锐角,化简,√Cos^2α-4Cosα+4-(1-Cosα)的绝对值 已知sin(3π+θ)=lg1/(10开3次方),求值cos(π+θ)/cosθ{cos(π-θ)-1} + cos(θ-π)/cos(π-θ)+cos(更正:已知sin(3π+θ)=lg1/(10开3次方),求值cos(π+θ)/cosθ{cos(π-θ)-1} + cos(θ-π)/cos(π-θ)+cos(θ-2π) 高一数学 已知sin(3π+θ)=lg1/(10开3次方0{cos(π+θ)/cosθ[cos(π-θ)-1]}+{ cos(θ-π)/cos(π-θ)+cos(θ已知sin(3π+θ)=lg1/(10开3次方)求{cos(π+θ)/cosθ[cos(π-θ)-1]}+{ cos(θ-2π)/cos(π-θ)+cos(θ-2π)}(最后结果 已知关于x的方程x∧2+xcosαcosβ+cosγ-1=0的两个根为x1 x2,且满足x1+x2=x1x2 三角形形状.∵满足x1+x2=x1x2 ∴ cosγ-1=-cosαcosβ 移项得cosγ+cosαcosβ=1 cosγ=-cos(α+β)=-cosαcosβ+sinαsinβsinαsinβ=1可是在0到π 1/(cos x)^2怎么积分, 求证:(cosβ/(1+sinβ))-(sinβ/(1+cosβ))=(2cosβ-2sinβ)/(1+sinβ+cosβ) (1)cos(-a+b)=-cos(a-b)!(2)cos(-a-b)=cos(a+b)哪个对? 求证:2(cosα-sinα)/(1+sinα+cosα) = cosα/(1+sinα)- sinα/(1+cosα)