class 12 inverse trignometric formule

Trigonometry Class 12 Formulas

Definition

θ=sin−1(x)isequivalenttox=sinθ

θ=cos−1(x)isequivalenttox=cosθ

θ=tan−1(x)isequivalenttox=tanθ

Inverse Properties

sin(sin−1(x))=x

cos(cos−1(x))=x

tan(tan−1(x))=x

sin−1(sin(θ))=θ

cos−1(cos(θ))=θ

tan−1(tan(θ))=θ

Double Angle and Half Angle Formulas

sin(2x)=2sinxcosx

cos(2x)=cos2x–sin2x

tan(2x)=2tanx1–tan2x

sinx2=±1–cosx2−−−−−√

cosx2=±1+cosx2−−−−−√

tanx2=1−cosxsinx=sinx1–cosx

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