Answer to: Verify the identity. cosx+cotxsinx / cotx = 2sinx By signing up, you'll get thousands of step-by-step solutions to your homework...
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Using the identity sec2x=1+tan2x, we can express sin2x in terms of t: tanx=t−32⟹tan2x=(t−32)2 Thus, sec2x=1+(t−32)2=1+(t−3)24 Step 4: Substitute into the IntegralNow we substitute back into the integral: ∫sin2x(2tanx+3)2dx=∫sin2xt2⋅dt2sec2x Using sin...
2、积分出来的结果不确定原因也有两个: 第一、由于有大量的代数、对数、三角的恒等式的出现, 可以在积分结果中互相替换;这种恒等式,在英文 中,用的的formulae。 第二、三角函数中有无数的恒等式,这个恒等式,在英文 中才是identity。3、举例如下:
Feb 21, 2018 Given: cos2(x)−sin2(x)=23 Use the identity cos(2x)=cos2(x)−sin2(x) ... Why can't you integrate 1+(−sinxcosx)2 ? https://socratic.org/questions/why-can-t-you-integrate-sqrt-1-cosx-sinx-2 Massimiliano Jan 29, 2015 T...
cos(x2)+sin(x2)=8 解x (復數求解) x=(−1)((−i)ln(4+4i+(−21−21i)×6221)+2πn1)21,n1∈Z x=((−i)ln(4+4i+(−21−21i)×6221)+2πn1)21,n1∈Z x=(−1)((−i)ln(4+4i+(21+21i)×6221)+2...
Using the Pythagorean identity cos2y+sin2y=1, we have:9(cos2x+sin2x)+4(cos23x+sin23x)+12(cosxcos3x+sinxsin3x)=1 Step 3: Simplify using identitiesUsing the identity cos2θ+sin2θ=1:9(1)+4(1)+12(cos(x−3x))=1This simplifies to:9+4+12cos(−2x)=1Since cos(−2x)=cos...
Step 4: Find tanx2Using the identity:tanx2=sinx2cosx2Substituting the values we found:tanx2=√4+√152√4−√152=√4+√15√4−√15 Final Answers:1. sinx2=√4+√1522. cosx2=√4−√1523. tanx2=√4+√15√4−√15 Show More ...
cos(?)−12!(cos(?)x+sin(?)x cos−12(cosx+sinx Evaluate arccos(22(sin(x)+cos(x))) Differentiate w.r.t. x −−sin(2x)+1cos(x)−sin(x) Graph Share Copy Copied to clipboard
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