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Aptitude · Q307

Trigonometry

Competitive Exams · Aptitude · question 307

Q307

Solve the following to find its value in terms of trigonometric ratios. (sinA + cosA)(1 - sinAcosA)

A.
sin3A + cos3A
Answer
B.
sin2A - cos2A
C.
[cosA - sinA][sin2A + cos2A]
D.
sin3A - cos3A

Answer: Option A

Solution

Answer: Option A
Solution:
(sinA + cosA)(1 - sinA.cosA)
= (sinA + cosA)[sin2A + cos2A - sinA.cosA]
= (sin3A + cos3A)
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