Inverse trigonometric functions: Difference between revisions

Revision as of 03:11, 27 November 2024

Revision as of 22:26, 29 November 2024

Line 169:

| style="text-align: center; padding: 0.5% 2em 0.5% 2em;" | <math>\sin \theta = y</math>

| style="text-align: center;" |[[Logical equality|<math>\iff</math>]]

| style='border-style: solid none solid none; text-align: left; padding-left: 2em;' |<math>\theta = \;\;\;\,\arcsin(y)+2 \pi hk</math> <br/>{{space|10}}or <br/><math>\theta =-\arcsin(y)+2 \pi hk+\pi</math>

| style="text-align: center; padding-left: 1em; padding-right: 1em;" |for some <math>hk \in \Z</math>

<!--------------- END: sin ''θ'' = ''x'' --------------->

|-

Line 176:

| style="text-align: center; padding: 0.5% 2em 0.5% 2em;" | <math>\csc \theta = r</math>

| style="text-align: center;" |<math>\iff</math>

| style='border-style: solid none solid none; text-align: left; padding-left: 2em;' |<math>\theta = \;\;\;\,\arccsc(r)+2 \pi hk</math> <br/>{{space|10}}or <br/><math>\theta =-\arccsc(r)+2 \pi hk+\pi</math>

| style="text-align: center; padding-left: 1em; padding-right: 1em;" |for some <math>hk \in \Z</math>

<!--------------- END: csc ''θ'' = ''r'' --------------->

|-