Let Upper B equals StartSet 1 comma cosine t comma cosine squared t comma ... comma cosine Superscript 6 Baseline t EndSet and Upper C equals StartSet 1 comma cosine t comma cosine 2 t comma ... comma cosine 6 t EndSet. Assume the following trigonometric identities. cosine 2 t equals negative 1 plus 2 cosine squared t cosine 3 t equals negative 3 cosine t plus 4 cosine cubed t cosine 4 t equals 1 minus 8 cosine squared t plus 8 cosine Superscript 4 Baseline t cosine 5 t equals 5 cosine t minus 20 cosine cubed t plus 16 cosine Superscript 5 Baseline t cosine 6 t equals negative 1 plus 18 cosine squared t minus 48 cosine Superscript 4 Baseline t plus 32 cosine Superscript 6 Baseline t Let H be the subspace of functions spanned by the functions in B. Then B is a basis for H. Complete parts (a) and (b). a. Write the B-coordinate vectors of the vectors in C as the columns of a matrix P, and use them to show that C is a linearly independent set in H. Pequals nothing