# Use trigonometric identities to transform the left side of the equation into the right side (0 <theta< pi/2). sin theta csc theta=1

Use trigonometric identities to transform the left side of the equation into the right side $\left(0<\theta <\pi /2\right)$
$\mathrm{sin}\theta \mathrm{csc}\theta =1$
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

latatuy
We have given
$0<\theta <\frac{\pi }{2}\phantom{\rule{0ex}{0ex}}\mathrm{sin}\theta \mathrm{csc}\theta =1$
Taking left side equation
$LHS=\mathrm{sin}\theta \mathrm{csc}\theta \phantom{\rule{0ex}{0ex}}=\left(\mathrm{sin}\theta \right)\left(\frac{1}{\mathrm{sin}\theta }\right)\phantom{\rule{0ex}{0ex}}=1=RHS$
Hence $\mathrm{sin}\theta \mathrm{csc}\theta =1$