Question

if sin∅ = a/b, then what is cos∅

Answer 1

sin@=a/b,

then
cos@=√(b²-a²)/b

Answer 2

hello mate !........


given......


$\sin(x) = \frac{a}{b} \\ \\ we \: know...... \\ \\ \sin {}^{2} (x) + cos {x}^{2} = 1 \\ \\ ( \frac{a}{b} ) {}^{2} + cos {}^{2} x = 1 \\ \\ cos {}^{2} x = 1 - \frac{a {}^{2} }{b {}^{2} } \\ \\ cos {}^{2} x = \frac{b {}^{2} - a {}^{2} }{b {}^{2} } \\ \\ cosx = \frac{ \sqrt{b {}^{2} - a {}^{2} } }{b}$


hope it helps u