In each of the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.(i) sin A=23(ii) cos A=45(iii) tan θ = 11(iv) sin θ=1115(v) tan α=512(vi) sin θ=32(vii) cos θ=725(viii) tan θ=815(ix) cot θ=125(x) sec θ=135(xi) cosec θ=10(xii) cos θ=1215

In each of the following, one of the six trigonometric ratios is given

1.	In each of the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.(i) sin A=23(ii) cos A=45(iii) tan θ = 11(iv) sin θ=1115(v) tan α=512(vi) sin θ=32(vii) cos θ=725(viii) tan θ=815(ix) cot θ=125(x) sec θ=135(xi) cosec θ=10(xii) cos θ=1215
Answer» In each of the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios. (i) $\sin A = \frac{2}{3}$ (ii) $\cos A = \frac{4}{5}$ (iii) tan θ = 11 (iv) $\sin θ = \frac{11}{15}$ (v) $\tan α = \frac{5}{12}$ (vi) $\sin θ = \frac{\sqrt{3}}{2}$ (vii) $\cos θ = \frac{7}{25}$ (viii) $\tan θ = \frac{8}{15}$ (ix) $\cot θ = \frac{12}{5}$ (x) $\sec θ = \frac{13}{5}$ (xi) $cosec θ = \sqrt{10}$ (xii) $\cos θ = \frac{12}{15}$

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