Find the measures of two angles, one positive and one negative, that are coterminal with π/10.
Co-terminal: \[\theta = \theta \pm 2k \pi \] for any integer k
adding or subtracting multiples of 2pi returns to the same angle
can you show me how you do that ?
\[\frac{ \pi }{ 10 } = \frac{ \pi }{ 10 } + 2\pi = \frac{ \pi }{ 10 } + 4\pi = \frac{ \pi }{ 10 } - 14\pi\]
choose one. and to add fractions you need the same denominator. \[\frac{ \pi }{ 10 } + 2\pi = \frac{ \pi }{ 10 } + 2\pi \frac{ 10 }{ 10 } = \frac{ \pi }{ 10 } + \frac{ 20 \pi }{ 10 } = \frac{ 21\pi }{ 10 }\]
20π/10 ; -π/10 ?
neither unfortunately
a negative one would be:\[\frac{ \pi }{ 10 } - 2\pi = \frac{ \pi }{ 10 } - 2\pi \frac{ 10 }{ 10 } = \frac{ \pi }{ 10 } - \frac{ 20 \pi }{ 10 } = \frac{ -19\pi }{ 10 }\]
Ohh i'm confused haha
is it a multiple choice answer? and which part confuses you?
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