use an appropriate half-angle formula to find the exact value ofthe expression.

tan22.5

write the product as a sum
sinxsin5x

write the sum as a product
sin2x-sin7x

1 answer

sinxsin5x
sinucosv= 1/2[cos(u-v)-cos(u+v)]

= 1/2[cos(x-5x)-cos(x+5x)]

= 1/2[cos(-4x)-cos(6x)]

= 1/2cos4x-1/2cos6x