Question

What is the value of CSC θ × tan θ ?

Answer 1

Answer:

$\huge\boxed{\csc\theta\times\tan\theta=\dfrac{1}{\cos\theta}=\sec\theta}$

Step-by-step explanation:

$\csc\theta=\dfrac{1}{\sin\theta};\ \tan\theta=\dfrac{\sin\theta}{\cos\theta}\\\\\\\csc\theta\times\tan\theta=\dfrac{1}{\sin\theta}\times\dfrac{\sin\theta}{\cos\theta}=\dfrac{1}{1}\times\dfrac{1}{\cos\theta}=\dfrac{1}{\cos\theta}=\sec\theta$

Answer 2

Answer:

$\cscθ \times \tanθ =$

1/sin θ×Sin θ/cos θ

=1/cos θ=sec θ