if $sin\theta=\frac{11}{12}$, find $csc\theta$.\n$csc\theta=square$
if $sin\theta=\frac{11}{12}$, find $csc\theta$.\n$csc\theta=square$
Answer
Explanation:
Step1: Recall the reciprocal identity
The reciprocal identity for cosecant and sine is (\csc\theta=\frac{1}{\sin\theta}).
Step2: Substitute the given value of (\sin\theta)
Given (\sin\theta = \frac{11}{12}), then (\csc\theta=\frac{1}{\frac{11}{12}}).
Step3: Simplify the expression
When dividing by a fraction, we multiply by its reciprocal. So (\frac{1}{\frac{11}{12}}=1\times\frac{12}{11}=\frac{12}{11}).
Answer:
(\frac{12}{11})