How do I prove that tantheta +1/tantheta = 1/sintheta costheta ?
1 Answer
Nov 13, 2017
Explanation:
#"using the following "color(blue)"trigonometric identities"#
#•color(white)(x)tantheta=sintheta/costheta#
#•color(white)(x)cottheta=1/tantheta=costheta/sintheta#
#•color(white)(x)sin^2theta+cos^2theta=1#
#"left hand side "#
#=tantheta+1/tantheta#
#=tantheta+cottheta#
#=sintheta/costheta+costheta/sinthetalarr"LCD "=sinthetacostheta#
#=(sin^2theta+cos^2theta)/(sinthetacostheta)#
#=1/(sinthetacostheta)=" right hand side "rArr"proved"#