Question

2 cosA = sinA, then the value of secA is: ​

Answer 1

Answer:

√5

Step-by-step explanation:

Given

2 cosA = sinA

⇒2 = sinA/cosA

⇒tanA = 2

We know that

sec²A - tan²A = 1

⇒sec²A = 1 + tan²A

⇒secA = √(1 + tan²A)        [Here tanA = 2]

∴secA = √(1 + 2²) = √(1 + 4) = √5

∴secA = √5