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Author Question: Consider the graphs of y = cos-1 x and y = sin-1 x. Does it make sense that the derivatives of these ... (Read 111 times)

lbcchick

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on: Dec 18, 2021

Question 1

Derive the identity sec-1(-x) = π - sec-1 x by combining the following two equations:
cos-1(-x) = π - cos-1 x
sec-1 x = cos-1(1/x)

Question 2

Consider the graphs of y = cos-1 x and y = sin-1 x.  Does it make sense that the derivatives of these functions are opposites? Explain.
Calculus: Early Transcendentals ¦ Briggs, Cochran, Gillett, Schulz ¦ 3rd Edition
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Marked as best answer by lbcchick on Dec 18, 2021

choc0chan

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Reply #1 on: Dec 18, 2021
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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lbcchick

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Reply 2 on: Dec 18, 2021
Thanks for the timely response, appreciate it

billybob123

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Reply 3 on: Yesterday
Great answer, keep it coming :)

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