Answer to Question #75489 in Trigonometry for Bridget

Question

(1) Using an identity from this section, write sin 7x − sin 3x as a product.
(2) Using an identity from this section, find the exact value of sin 105◦
sin 15◦
(3) Using an identity from this section, find the exact value of sin 195◦
cos 75◦
(4) Using identities from this section, verify the identity cos t−cos 3t over sin t+sin 3t = tan t.
(5) Using an identity from this section, write sin 7x sin 3x as a sum or a difference.