If α is an acute angle, which of the following options will NOT necessarily be equal to the value of sec α?
Answer & explanation
Correct answer: option 2
We know,
Sec α = \(\frac{1}{cosα}\)
And
sec² α - tan² α = 1
sec² α = 1 + tan² α
sec α = \(\sqrt { 1 + tan² α }\)
And ,
sec α = \(\frac{1}{cosα}\)
multiply and divide by sinα .
sec α = \(\frac{1}{cosα}\) × \(\frac{sinα}{sinα}\)
= \(\frac{tanα}{sinα}\)
But
secα ≠ \(\frac{1}{sinα}\)