Question

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Answer 1

Trigonometry

sin(θ)=opposite/hypotenusesin⁡(θ)=opposite/hypotenuse

cos(θ)=adjacent/hypotenusecos⁡(θ)=adjacent/hypotenuse

tan(θ)=opposite/adjacenttan⁡(θ)=opposite/adjacent

sec(θ)=1/cos(θ)sec⁡(θ)=1/cos⁡(θ)

csc(θ)=1/sin(θ)csc⁡(θ)=1/sin⁡(θ)

cot(θ)=1/tan(θ)cot⁡(θ)=1/tan⁡(θ)

tan(θ)=sin(θ)/cos(θ)tan⁡(θ)=sin⁡(θ)/cos⁡(θ)

cot(θ)=cos(θ)/sin(θ)cot⁡(θ)=cos⁡(θ)/sin⁡(θ)

cos2(θ)+sin2(θ)=1cos2⁡(θ)+sin2⁡(θ)=1

tan2(θ)+1=sec2(θ)tan2⁡(θ)+1=sec2⁡(θ)

sec2(θ)−1=tan2(θ)sec2⁡(θ)−1=tan2⁡(θ)

sin(θ)=cos(π2−θ)sin⁡(θ)=cos⁡(π2−θ)

cos(θ)=sin(π2−θ)cos⁡(θ)=sin⁡(π2−θ)

sin(θ+π)=−sin(θ)sin⁡(θ+π)=−sin⁡(θ)

cos(θ+π)=−cos(θ)

Exponent rules:

ab⋅acabac(ab)ca1/b=ab+c=ab−c=abc=a−−√b