Question #74225

2 Answers
Swarna Islam · Sunayan S
Dec 18, 2017

It is proved below;

Explanation:

#L.H.S=sinA+tanA#

#=tanA(sinA/(tanA)+1)#
#=tanA(sinA/(sinA/cosA)+1)#
#=tanA((color(green)cancelsinAxxcosA)/color(green)cancelsinA+1)#

#=tanA(cosA+1)=tanA(1+cosA)=R.H.S##color(blue)[[Proved.]#

Jim G.
Dec 18, 2017

#"see explanation"#

Explanation:

#"using the "color(blue)"trigonometric identity"#

#•color(white)(x)tanA=sinA/cosA#

#"consider the right hand side"#

#tanA(1+cosA)#

#=tanA+sinA/cancel(cosA)xxcancel(cosA)#

#=sinA+tanA#

#="left hand side "rArr"verified"#

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