Prove that:
(sin4 0 - cos4 o + 1) cosec2 0 = 2
Answers
Answer:
ANSWER
We have,
LHS = sin
4
A - cos
4
A
⇒ LHS = (sin
2
A)
2
−(cos
2
A)
2
⇒ LHS = (sin
2
A+cos
2
A)(sin
2
A−cos
2
A)
⇒ LHS = sin
2
A −cos
2
A [∵sin
2
A+cos
2
A=1]
⇒ LHS = sin
2
A −(1−sin
2
A ) = 2sin
2
A−1
⇒ LHS = 2(1−cos
2
A)−1=1−2cos
2
A = RHS
Answered By
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