Advertisements
Advertisements
Question
Which is greater, tan 1 or tan–11?
Graph
Sum
Solution
From Fig. 2.1, we note that tan x is an increasing function in the interval `((-pi)/2, pi/2)`
Since `1 > pi/4`
⇒ `tan 1 > an p/4`.
This gives an 1 > 1
⇒ `tan 1 > 1 > pi/4`
⇒ tan 1 > 1 > tan–1(1).
shaalaa.com
Inverse Trigonometric Functions - Graphs of Inverse Trigonometric Functions
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
The graph of inverse trigonometric function can be obtained from the graph of their corresponding trigonometric function by interchanging x and y axes.
`"tan"^-1 "x" + "tan"^-1 "y" = "tan"^-1 ("x + y")/(1 - "xy")` is true for ____________.
x ∈ R :|cos (x)| ≥| sin (x) | ∩ [0, 2π] =
Draw the graph of cos–1 x, where x ∈ [–1, 0]. Also, write its range.
Draw the graph of the principal branch of the function f(x) = cos–1 x.
