“If sin = 3 5 sin= 5 3 and is an acute angle, find…

Written by

Given:

sin theta = frac{3}{5}, quad theta text{ is acute}

cos^2 theta = 1 - sin^2 theta= 1 - left(frac{3}{5}right)^2= 1 - frac{9}{25}= frac{16}{25}

Since is acute:

cos theta = frac{4}{5}

tan theta = frac{sin theta}{cos theta}= frac{frac{3}{5}}{frac{4}{5}}= frac{3}{4}

cos theta = frac{4}{5}, quad tan theta = frac{3}{4}

Comments