If (2 SinA + CosecA) = 2√2, 0o < A < 90o then the value of 2(Sin4 A + Cos4 A) is :
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 1
Explanation:
(2 SinA + CosecA) = 2√2
To find the value A, we satisfy the above equation so put the value of A = 45o
(2 Sin45o + Cosec45o) = 2√2
(2 × 1/√2 + √2) = 2√2
2√2 = 2√2
2(Sin4A + Cos4A)
= 2(Sin445o + Cos45o)
= 2((1/√2)4 + (1/√2)4)
= 2(1/4 + 1/4) = 2(1/2) = 1