The Curves $\mathbf { r } _ { 1 } ( t ) = \left\langle t , \mathrm { t } ^ { 4 } , \mathrm { t } ^ { 8 } \right\rangle$

Short Answer

The curves $\mathbf { r } _ { 1 } ( t ) = \left\langle t , \mathrm { t } ^ { 4 } , \mathrm { t } ^ { 8 } \right\rangle$ and $\mathbf { r } _ { 2 } ( t ) = \langle \sin t , \sin 5 t , t \rangle$ intersects at the origin. Find their angle of intersection correct to the nearest degree.