Practice Evaluate Trig Expressions 2

puremath

New member
Evaluate each expression given that

f(x) = sin x

g(x) = cos x

h(x) = tan x

k(x) = 2x

Let d = delta

A. df/dx on [pi/4, pi/2]

B. dh/dx on [pi/4, 1.58]

For B, use a calculator and round the final answer to one decimal place.
 

MarkFL

La Villa Strangiato
Math Helper
A. [MATH]\frac{\Delta f}{\Delta x}=\frac{f\left(\dfrac{\pi}{2}\right)-f\left(\dfrac{\pi}{4}\right)}{\dfrac{\pi}{2}-\dfrac{\pi}{4}}=\frac{1-\dfrac{1}{\sqrt{2}}}{\dfrac{\pi}{4}}=\frac{2\sqrt{2}(\sqrt{2}-1)}{\pi}[/MATH]
 

puremath

New member
A. [MATH]\frac{\Delta f}{\Delta x}=\frac{f\left(\dfrac{\pi}{2}\right)-f\left(\dfrac{\pi}{4}\right)}{\dfrac{\pi}{2}-\dfrac{\pi}{4}}=\frac{1-\dfrac{1}{\sqrt{2}}}{\dfrac{\pi}{4}}=\frac{2\sqrt{2}(\sqrt{2}-1)}{\pi}[/MATH]

Very good.
 
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