I'm really having trouble simplifying trigonometric expressions, I understand the identities, but sometimes I get stuck, and rea

lly need an explanation
sint + tan t
________
tan t

Mathematics

1 answer:

Karolina [17]3 years ago

8 0

$\bf \cfrac{sin(t)+tan(t)}{tan(t)}\impliedby \textit{distributing the denominator}
\\\\\\
\cfrac{sin(t)}{tan(t)}+\cfrac{tan(t)}{tan(t)}\implies \cfrac{sin(t)}{\frac{sin(t)}{cos(t)}}+1\implies 
\cfrac{\frac{sin(t)}{1}}{\frac{sin(t)}{cos(t)}}+1
\\\\\\
\cfrac{sin(t)}{1}\cdot \cfrac{cos(t)}{sin(t)}+1\implies cos(t)+1$

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