Question 94

What is the simplified value of (1- sin A cos A)(sin A + cos A)?

Solution

Expression : $$(sinA+cosA)(1-sinAcosA)$$

Using, $$sin^2A+cos^2A=1$$

= $$(sinA+cosA)(sin^2A+cos^2A-sinAcosA)$$

Also, we know that : $$x^3+y^3=(x+y)(x^2+y^2-xy)$$

= $$sin^3A+cos^3A$$

=> Ans - (B)

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