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01192009  #1 
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3rd Year HS : Trigometric Identities.
Hello guys.
I'm really having difficulties in answering Trigometric identities kindly help me with this. This is the Fundamental Trigonometric Identities Chart that my teacher gave me. and this the problem that I need to prove. Prove. please explain them to me . and can I ask for techniques or ways to answer this without difficulties? 
01202009  #2 
Join Date: Dec 2008
Posts: 249

1. 1  sin/csc = cos/sec
Let's work on the lefthand side (LHS). 1  sin/(1/sin) = cos/sec 1  sin*sin = cos/sec cos*cos = cos/sec cos(1/sec) = cos/sec cos/sec = cos/sec 2. 1/(sec*sec) = 1  1/(csc*csc) Work on the RHS. 1/(sec*sec) = 1  1/((1/sin)(1/sin)) 1/(sec*sec) = 1  sin*sin 1/(sec*sec) = cos*cos 1/(sec*sec) = (1/sec)(1/sec) 1/(sec*sec) = 1/(sec*sec) 
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