SOLUTION: verify an identity:
1) tan(t)+ 2 cos(t)csc(t)=sec(t)+csc(t)+cot(t)
2)(cot(θ)-tan(θ)÷sin(θ)+cos(θ))=csc(θ)-sec(θ)
3)(1+sec(4x)÷sin(4x)+tan(4x))=
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Question 505822: verify an identity:
1) tan(t)+ 2 cos(t)csc(t)=sec(t)+csc(t)+cot(t)
2)(cot(θ)-tan(θ)÷sin(θ)+cos(θ))=csc(θ)-sec(θ)
3)(1+sec(4x)÷sin(4x)+tan(4x))=csc(4x)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
3) Let 
, then
Change everything to equivalent 
and 
functions:
Apply the LCD where applicable:
}{\cos\varphi}}\ \equiv^?\ \frac{1}{\sin\varphi})
\frac{\frac{\cos\varphi\ +\ 1}{\cos\varphi}}{\frac{\cos\varphi\ +\ 1}{\cos\varphi}}\ \equiv^?\ \frac{1}{\sin\varphi})
Only one problem per post please. I'll tell you one thing about the other two problems: One of them is NOT an identity.
John
My calculator said it, I believe it, that settles it
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