(cotangent).sinθ=b/c cosθ=a/c tanθ=b/a cscθ=c/b secθ=c/a cotθ=a/b 三角恒等式 根据这些定义,可得到下列恒等式(identity):tanθ=sinθ/cosθ,cotθ=cosθ/sinθ secθ=1/cosθ,cscθ=1/sinθ 分别用cos 2θ与sin 2θ来除cos 2θ+sin 2θ=1,可得:sec 2θ–tan 2θ=1 及...
Establish the identity cos + sin 0 = cos 0 - sino -1- coto 1 + tan 0 Write the left side in terms of sine and cosine. cos sin 0 1 + Write each term from the previous step as one fraction. cos 20 sin 0 - cos 0 (List the ...
根据这些定义,可得到下列恒等式(identity):tanθ=sinθ/cosθ,cotθ=cosθ/sinθ secθ=1/cosθ,cscθ=1/sinθ 分别用cos 2θ与sin 2θ来除cos 2θ+sin 2θ=1,可得:sec 2θ–tan 2θ=1 及 csc 2θ–cot 2θ=1 对于负角度,六个三角函数分别为:sin(–θ)=–sinθ csc(–θ)=–cscθ cos...
Prove the identity: sin(x + y) - sin(x - y) = 2 cos x sin y Prove the identity algebraically: cos x / 1 + sin x = sec x - tan x Prove the following identity. tan (x + pi / 4) = cos x + sin x / cos x - sin x ...
Verify the identity: cot(x-pi/2)=-tan x Verify the following identity: csc(x) - cos(x) \: cot(x) = sin(x). Verify csc(x) - tan(x) / sec(x) + cot(x) = cos(x) - sin^2(x) / sin(x) + cos^2(x) Establish the Identity. dfrac{csc(x) + cot(x)}{sec(x) + tan...
根据这些定义，可得到下列恒等式（identity）： tanθ＝sinθ/cosθ，cotθ＝cosθ/sinθ secθ＝1/cosθ，cscθ＝1/sinθ 分别用cos 2θ与sin 2θ来除cos 2θ＋sin 2θ＝1，可得： sec 2θ–tan 2θ＝1 及 csc 2θ–cot 2θ＝1 对于负角度，六个三角函数分别为： sin(–θ)＝ –sinθ csc(...
Using the Pythagorean identity sin2(θ)+cos2(θ)=1sin2(θ)+cos2(θ)=1, we can substitute cos2(θ)cos2(θ) with 1−sin2(θ)1−sin2(θ), obtaining cos(2θ)=1−2sin2(θ)cos(2θ)=1−2sin2(θ) Alternatively, we can substitute sin2(θ)sin2...
pythagorean identity: sinθ and cosθ sin²θ+cos²θ=1 pythagorean identity: tanθ and secθ tan²θ+1=sec²θ pythagorean identity: cotθ and cscθ 1+cot²θ=csc²θ sin30° 1/2 cos30° √3/2 tan30° √3/3 cot30° ...
Transformation of Sin and Cos FormulasThere are a few identities that we pick from one side to work and make substitutions until the side is transformed to the other side. To verify an identity, we rewrite any side of the equation and transform it to the other side. From the above-...