Trigonometric Ratios of (90° – θ)

$ \displaystyle \ \ \ \text{In}\ \vartriangle PON,$

$ \displaystyle \ \ \ \sin \theta =y$

$ \displaystyle \ \ \ \cos \theta =x$

$ \displaystyle \ \ \ \tan \theta =\frac{y}{x}$

$ \displaystyle \ \ \ \cot \theta =\frac{x}{y}$

$ \displaystyle \ \ \ \sec \theta =\frac{1}{x}$

$ \displaystyle \ \ \ \operatorname{cosec}\theta =\frac{1}{y}$


$ \displaystyle \ \ \ \sin (90{}^\circ -\theta )=x=\cos \theta $

$ \displaystyle \ \ \ \cos (90{}^\circ -\theta )=y=\sin \theta $

$ \displaystyle \ \ \ \tan (90{}^\circ -\theta )=\frac{x}{y}=\cot \theta $

$ \displaystyle \ \ \ \cot (90{}^\circ -\theta )=\frac{y}{x}=\tan \theta $

$ \displaystyle \ \ \ \sec (90{}^\circ -\theta )=\frac{1}{y}=\operatorname{cosec}\theta $

$ \displaystyle \ \ \ \operatorname{cosec}(90{}^\circ -\theta )=\frac{1}{x}=\sec\theta $

$ \displaystyle \theta$ တန္ဖိုး ရိုက္ထည့္ပါ။