Find the value x for a given trigonometric equation sec-1[sec(−300)]
Evaluate the value of x
Let, x=sec-1[sec(−300)]
⇒secx=sec(−300)
⇒secx=sec(300)[∴sec-θ=secθ]
⇒secx=23∴sec300=23
⇒ x=sec-123
⇒ x=π6
Hence, the value of x is π6.