Simplify
(sin ^3 theta + cos ^3 theta / sin theta + cos theta )+ sin theta * cos theta
(sin ^3 theta + cos ^3 theta / sin theta + cos theta )+ sin theta * cos theta
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Answer:
1
Step-by-step explanation:
use the identity (a^3+b^3)= (a+b)(a^2+b^2-ab)
sin^3A + cos^3A÷(sinA +cos ). + sinA.cosA
(sinA+cosA)(sin^2+cos^2 -sinA.cosA)÷ (sinA + cosA)+ sinA.cosA
or( sinA^2+cosA^2 -sinA.cosA) +sinA.cosA
1-sinA.cosA+sinA.cosA
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