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Find the number of solutions to cos x = ...

Find the number of solutions to `cos x = (x)/(10), x gt 0.`

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To get the number of solutions, draw the graphs of y = cos x and `y = (x)/(10)`.
`y = (x)/(10)` passes through the origin and (10, 1).

As shown is the figure, there are three points of intersection, hence three roots.
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CENGAGE-GRAPHS OF TRIGONOMETRIC FUNCTIONS-Exercise
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  2. Find the values of x for which f(x) = sqrt(sin x - cos x) is defined.

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  3. Draw the graph of y = tan^(2) x.

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  4. Draw the graph of y = sin x + cos x, x in [0, 2pi].

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  5. Draw the graph of y = [cos x], x in [0, 2pi], where [*] represents the...

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  8. Evaluate : [lim(x to 0) (tan x)/(x)], where [*] represents the greates...

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  9. For f(x) = sin x - x^(2) + 1, check weather the function is increasing...

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  10. Draw the graph of the function f(x)=m a xdot{sinx ,cos2x},x in [0,2pi]...

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  12. The total number of solution of sin {x}= cos {x} (where {.} denotes th...

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  13. Draw the graph of f(x) = |tan x| + |cot x|.

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  14. Find the number of solutions to cos x = (x)/(10), x gt 0.

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  15. The number of solutions of tanx-m x=0,m >1, in (-pi/2,pi/2) is 1 (b) 2...

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  16. Find the number of solutions to log(e) |sin x| = -x^(2) + 2x in [-(pi)...

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  17. Solve :cos x le - (1)/(2).

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  18. Prove that the least positive value of x , satisfying tanx=x+1, lies i...

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  19. Draw the graph of y = (x^(2))/(10) sin x.

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  20. Draw the graph of y = (sin x)/(x).

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