Prove (1=tany/siny)=secy+cscy ?

1 Answer
Hriman
Apr 3, 2018

Verified below

Explanation:

Using identities:
#1/cosy= secy#
#1/siny= cscy#
#tany= siny/cosy#

Start:
#(1+tany)/siny=secy+cscy#

#1/siny+tany/siny=secy+cscy#

#cscy+siny/(cosy/siny)=secy+cscy#

#cscy+cancelsiny/cosy*1/cancelsiny=secy+cscy#

#cscy+1/cosy=secy+cscy#

#cscy+secy=secy+cscy#

#secy+cscy=secy+cscy#

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