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KIKI
KIKI asked in Science & MathematicsMathematics · 2 months ago

Trig question?

I’m studying for a quiz

“For any angle x , -1≤sin(x)≤1 and -1≤cos(x)≤1” explain how this is true

also

someone says “for any angle x, -1≤sec(x)≤1 and -1≤csc(x)≤1.” explain how this is not true

2 Answers

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  • Jeff Aaron
    Lv 7
    2 months ago

    For any REAL angle, -1 < sin(x) <= 1 and -1 <= cos(x) <= 1

    However, that's not true if x is non-real.

    If -1 <= sec(x) <= 1 or -1 <= csc(x) <= 1, then either x = (pi/2)*n radians, for any integer number n, or x is non-real. However, those inequations are not true for all x. For example, if x = 1 radian, then sec(x) =~ 1.85

  • billrussell42
    Lv 7
    2 months ago

    look at the graphs for the functions and that will become clear.

    Attachment image
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