If cos θ = a/b, then the value of sec θ will be || ADRE 1.0 SLRC 2022 PAPER-III SOLVED QUESTIONS

If cos θ = a/b, then the value of sec θ will be:

(A) √(a² - b²)/b

(B) b/a

(C) √(a² - b²)

(D) b/(a + b)




Solution:

Given cos θ = a/b, we need to find the value of sec θ.


The reciprocal identity for cosine is:

sec θ = 1/cos θ


Substituting the given value:

sec θ = 1/(a/b) = b/a


Therefore, the value of sec θ is:

b/a


The correct answer is: (B) b/a


Importance of this Question:

  • This question tests understanding of trigonometric identities and their applications.
  • It is crucial for competitive exams where quick and accurate calculations are necessary.
  • Practicing such questions helps in mastering reciprocal identities and their use in problem-solving.
  • This type of question often appears in various competitive exams including ADRE SLRC-2022 Paper III for Grade-III posts.

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