Find the value of tan-1(1) and tan-1(tan1).
Find the value of the given inverse trigonometric functions
Given: tan-1(1)
We know that the range of tan−1 is (−π2,π2) and tan−1(tanx)=x if x∈(−π2,π2).
So,
tan-1(1)=tan-1tanπ4[∵tanπ4=1]⇒tan-1(1)=π4
Now,
Given: tan-1(tan1)
tan-1(tan1)=1
Hence, the value of tan-1(1) is π4 and the value of tan-1(tan1) is 1.
(1) Draw a graph of y = x2 and find the value of.
(2) Draw the graph of y = 2x2 and find the value of.
(3) Draw the graph of and find the value of.