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

1.	In each of the following, one of the six stigonometric 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 stigonometric ratios is given. Find the values of the other trigonometric ratios. (i) $s i n A = \frac{2}{3}$ (ii) $c o s A = \frac{4}{5}$ (iii) $t a n θ = 11$ (iv) $s i n θ = \frac{11}{15}$ (v) $t a n α = \frac{5}{12}$ (vi) $s i n θ = \frac{\sqrt{3}}{2}$ (vii) $c o s θ = \frac{7}{25}$ (viii) $t a n θ = \frac{8}{15}$ (ix) $c o t θ = \frac{12}{5}$ (x) $s e c θ = \frac{13}{5}$ (xi) $c o s e c θ = \sqrt{10}$ (xii) $c o s θ = \frac{12}{15}$

In each of the following, one of the six stigonometric 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 stigonometric ratios is given. Find the values of the other trigonometric ratios.

(i) $s i n A = \frac{2}{3}$

(ii) $c o s A = \frac{4}{5}$

(iii) $t a n θ = 11$

(iv) $s i n θ = \frac{11}{15}$

(v) $t a n α = \frac{5}{12}$

(vi) $s i n θ = \frac{\sqrt{3}}{2}$

(vii) $c o s θ = \frac{7}{25}$

(viii) $t a n θ = \frac{8}{15}$

(ix) $c o t θ = \frac{12}{5}$

(x) $s e c θ = \frac{13}{5}$

(xi) $c o s e c θ = \sqrt{10}$

(xii) $c o s θ = \frac{12}{15}$

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