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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