Let f : [ 0 , 4 π ] → [ 0 , π ] be defined by f ( x ) = cos − 1 ( cos x ) . The number of points x ∈ [ 0 , 4 π ] satisfying the equation f ( x ) = 10 10 − x is _________

Question

Let f : [ 0 , 4 π ] → [ 0 , π ] be defined by f ( x ) = cos − 1 ( cos x ) . The number of points x ∈ [ 0 , 4 π ] satisfying the equation f ( x ) = 10 10 − x ​ is _________

TestHub · Accepted Answer

f : [ 0 , 4 π ] → [ 0 , π ] , f ( x ) = cos − 1 ( cos x ) ⇒ there will be 3 point of intersection of two graphs f ( x ) = 10 10 − x ​ . Hence, there are 3 points.

Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

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