2. Show that (a) S' = {z = a + bi e C|a,b E R, |2| = a² + b² = 1} is a subgroup of C*. cos O - sin 0 - (b) SO2(R) | 0 ER} is a subgroup of GL2(R). sin 0 cos O (c) S' = SO2(R). = cos a cos B – sin a...

2. Show that<br>(a) S' = {z = a + bi e C|a,b E R, |2| = a² + b² = 1} is a subgroup of C*.<br>cos O<br>- sin 0<br>-<br>(b) SO2(R)<br>| 0 ER} is a subgroup of GL2(R).<br>sin 0<br>cos O<br>(c) S' = SO2(R).<br>= cos a cos B – sin a sin 3 and sin(a + B) = sin a cos 3 + cos a sin 3<br>

Extracted text: 2. Show that (a) S' = {z = a + bi e C|a,b E R, |2| = a² + b² = 1} is a subgroup of C*. cos O - sin 0 - (b) SO2(R) | 0 ER} is a subgroup of GL2(R). sin 0 cos O (c) S' = SO2(R). = cos a cos B – sin a sin 3 and sin(a + B) = sin a cos 3 + cos a sin 3

Jun 05, 2022

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2. Show that (a) S' = {z = a + bi e C|a,b E R, |2| = a² + b² = 1} is a subgroup of C*. cos O - sin 0 - (b) SO2(R) | 0 ER} is a subgroup of GL2(R). sin 0 cos O (c) S' = SO2(R). = cos a cos B – sin a...

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