Vector a = (cos23 ° cos67 °) vector b = (cos68 ° cos22 °) vector u = vector a + T vector b (t belongs to R) find the minimum value of the module of U

Vector a = (cos23 ° cos67 °) vector b = (cos68 ° cos22 °) vector u = vector a + T vector b (t belongs to R) find the minimum value of the module of U


Vector u = vector a + T, vector b = (cos23 ° + tcos68 °, cos67 ° + tcos22 °) (t belongs to R), u ^ = (cos23 ° + tcos68 °) ^ + (cos67 ° + tcos22 °) ^ = (cos23 ° + tsin22 °) ^ + (sin23 ° + tcos22 °) ^ = 1 + T ^ + 2T (sin22 ° cos23 ° + cos22 ° sin23 °) = 1 + T ^ + 2Ts



sin67°cos22°-sin23°cos68°=


sin67°cos22°-sin23°cos68°
=sin67°sin68°-cos67°cos68°
=-cos(67°+68°)
=-cos(135°)
=-√2/2



What is sin23 & º 5 'equal to?


0.39
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