How do I prove that tantheta +1/tantheta = 1/sintheta costheta ?

1 Answer
Jim G.
Nov 13, 2017

#"see explanation"#

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"#

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