Verify the identity. (Simplify at each step.) (1 + sin α)(1 − sin α) = cos2 α (1 + sin α)(1 − sin α) = 1 − (BLANK) = cos2 α

Answer 1

(1 + sin α)(1 − sin α) = cos2 α (1 + sin α)(1 − sin α) = 1 − (BLANK) = cos2 α

I'm using 45°.

(1+sin45)(1-sin45)=(cos45)^2(1+sin45)(1-sin45)=1-___=(cos45)^2

1.707 * .293 = .5 * 1.707 * .293 =

500 = .854 * .293 =

" = .25 =????????????????

Answer 2

Verify the identity. (Simplify at each step.) (1 + sin α)(1 − sin α) = cos2 α (1 + sin α)(1 − sin α) = 1 − (BLANK) = cos2 α

This is difference of two squares ( a + b) ( a -b) = a² - ab + ab - b² = a² - b² , a = 1 , and b = sin a

( 1 + sin a ) ( 1 - sin a ) = 1 - sin² a = cos ² a the blank is sin ² a