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Chapter 7: Q. 100 (page 475)

Show that the functions f and g are identically equal.

f(x)=cosx路cotx,g(x)=cscx-sinx

Short Answer

Expert verified

Yes, the functions are identically equal.

Step by step solution

01

Step 1. Given Information

The given functions aref(x)=cosx路cotx,g(x)=cscx-sinx

02

Step 2. Calculation

Simplify any one function and determine whether they are equal or not to the other function.

f(x)=cosx路cotx=cosxcosxsinx=cos2xsinx=1-sin2xsinx=1sinx-sinx=cscx-sinx=g(x)

Thus, both the functions are equal.

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