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  1. sinA –sinB
    		 +
    cosA – cosB
    		 = ?
    cosA + cosBsinA + sinB

    1. 1
    2. cos A
    3. sin A
    4. 0
Correct Option: D

sinA - sinB
 +
cosA - cosB
cosA + cosBsinA + sinB

(sinA – sinB)(sinA + sinB) + =
(cosA + cosB)(cosA - cosB)
(cosA + cosB)(sinA + sinB)sinA + sinB

=
sin²A – cos²A) -( cos²A – cos²B
(cosA + cosB)(sinA + sinB)

=
(sin²A + cos²A) – (sin²B + cos²B)
(cosA + cosB)(sinA + sinB)

=
1 – 1
(cosA + cosB)(sinA + sinB)

= 0


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