The value of the expression 4(sin6A + cos6A) — 6(sin4A + cos4A) + 8 is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 6
Given that
The expression 4(sin6A + cos6A) — 6(sin4A + cos4A) + 8
⇒ 4(sin6A + cos6A) — 6(sin4A + cos4A) + 8
⇒ 4 (1 - 3sin2A cos2A) - 6 (1 - 2sin2A cos2A) + 8
⇒ 4 - 12sin2A cos2A - 6 + 12sin2A cos2A + 8
⇒ 4 - 6 + 8
⇒ 6