Answer:
Therefore, Verify.
Step-by-step explanation:
Given : cot θ ∙ sec θ = csc θ
To find : Verify the identity.
Solution : We have given
cot θ ∙ sec θ = csc θ
By the trigonometric identity : cot θ = \(\frac{cos(theta)}{sin(theta)}\) .
sec θ = \(\frac{1}{cos(theta)}\).
Then ,
Taking left hand side
cot θ ∙ sec θ
\(\frac{cos(theta)}{sin(theta)}\) * \(\frac{1}{cos(theta)}\)
\(\frac{1}{sin(theta)}\)
csc θ = right hand side.
Hence verify.
Therefore, Verify.
