If $$\sec \theta + \frac{1}{{\cos \theta }} = 2,$$ find the value of $${\sec ^{55}}\theta + \frac{1}{{{{\sec }^{55}}\theta }} = ?$$
A. 2
B. 0
C. 1
D. 55
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & \sec \theta + \frac{1}{{\cos \theta }} = 2 \cr & \sec \theta + \sec \theta = 2 \cr & \sec \theta = 1 \cr & {\sec ^{55}}\theta + \frac{1}{{{{\sec }^{55}}\theta }} \cr & = {\left( 1 \right)^{55}} + \frac{1}{{{{\left( 1 \right)}^{55}}}} \cr & = 1 + 1 \cr & = 2 \cr} $$Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
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