Calc2 trig identities

1+tan2(x)=sec2(x)
1+cot⁡2(x)=csc⁡2(x)1+cot2(x)=csc2(x)
sin⁡(A±B)=sin⁡(A)cos⁡(B)±cos⁡(A)sin⁡(B)sin(A±B)=sin(A)cos(B)±cos(A)sin(B)
cos⁡(A±B)=cos⁡(A)cos⁡(B)∓sin⁡(A)sin⁡(B)cos(A±B)=cos(A)cos(B)∓sin(A)sin(B)
tan⁡(A±B)=tan⁡(A)±tan⁡(B)1∓tan⁡(A)tan⁡(B)tan(A±B)=1∓tan(A)tan(B)tan(A)±tan(B)​
sin⁡(2x)=2sin⁡(x)cos⁡(x)sin(2x)=2sin(x)cos(x)
cos⁡(2x)=cos⁡2(x)−sin⁡2(x)=2cos⁡2(x)−1=1−2sin⁡2(x)cos(2x)=cos2(x)−sin2(x)=2cos2(x)−1=1−2sin2(x)
tan⁡(2x)=2tan⁡(x)1−tan⁡2(x)tan(2x)=1−tan2(x)2tan(x)​
sin⁡(x2)=±1−cos⁡(x)2sin(2x​)=±21−cos(x)​​
cos⁡(x2)=±1+cos⁡(x)2cos(2x​)=±21+cos(x)​​
tan⁡(x2)=1−cos⁡(x)sin⁡(x)=sin⁡(x)1+cos⁡(x)tan(2x​)=sin(x)1−cos(x

)​=1+cos(x)sin(x)​
ddx[cot⁡(x)]=−csc⁡2(x)dxd​[cot(x)]=−csc2(x)
ddx[csc⁡(x)]=−csc⁡(x)cot⁡(x)dxd​[csc(x)]=−csc(x)cot(x)
ddx[sec⁡(x)]=sec⁡(x)tan⁡(x)dxd​[sec(x)]=sec(x)tan(x)
∫sec⁡(x)dx=ln⁡∣sec⁡(x)+tan⁡(x)∣+C∫sec(x)dx=ln∣sec(x)+tan(x)∣+C
∫csc⁡(x)dx=−ln⁡∣csc⁡(x)+cot⁡(x)∣+C∫csc(x)dx=−ln∣csc(x)+cot(x)∣+C