alleryStart learning →sec θ is defined as:
- 1/sin θ
- sin θ/cos θ
- 1/tan θ
- 1/cos θ
Show answer and solution
Correct answer: D. 1/cos θ
sec θ = 1/cos θ (cosecant: csc θ = 1/sin θ; cotangent: cot θ = 1/tan θ).
Indian Navy 10+2 B.Tech Cadet Geometry — practice questions
Explore 78 free Geometry questions in Indian Navy 10+2 B.Tech Cadet Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Geometry with Quill →Geometry questions and exercises with answers
Showing questions 1–30 of 78.
sec θ is defined as:Read the answer and worked solution →General solution of cos θ = 0:Read the answer and worked solution →Probability of a certain event:Read the answer and worked solution →The probability of drawing a king from a standard pack of 52 cards is:Read the answer and worked solution →The probability of getting a number greater than 4 on a single throw of a die is:Read the answer and worked solution →In radian measure, $\pi$ radians equals:Read the answer and worked solution →The point dividing the segment from $(1,1)$ to $(4,7)$ in the ratio 1:2 is:Read the answer and worked solution →Find x such that the distance from (x, 1) to (2, 3) is √8.Read the answer and worked solution →The exact value of cos 60° is:Read the answer and worked solution →Sort each inverse function into its domainRead the answer and worked solution →Tap every function whose domain is [−1, 1]Read the answer and worked solution →Match each inverse function to its domainRead the answer and worked solution →Match each inverse function to its principal value branchRead the answer and worked solution →Flip and pair: function with its principal rangeRead the answer and worked solution →Which principal ranges sit around zero, and which run 0 to π?Read the answer and worked solution →Tap every function whose principal range has a point removedRead the answer and worked solution →Name the principal value branchRead the answer and worked solution →Domain checkRead the answer and worked solution →Put the reasoning in order: why an inverse needs a restricted domainRead the answer and worked solution →True or false: existence of inversesRead the answer and worked solution →True or false: reading the tableRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Complete the summary tableRead the answer and worked solution →Complete the rule about restricting a domainRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Principal values worked in the chapterRead the answer and worked solution →Order the steps for finding a principal valueRead the answer and worked solution →True or false: principal valuesRead the answer and worked solution →
Worked practice questions
General solution of cos θ = 0:
- θ = π/2 + nπ
- θ = nπ
- θ = π/4 + nπ
- θ = 0 + 2nπ
Show answer and solution
Correct answer: A. θ = π/2 + nπ
cos θ = 0 at θ = π/2 and 3π/2 (i.e., 90° and 270°).
**General:** θ = π/2 + nπ where n ∈ ℤ. (Every π apart.)
Probability of a certain event:
- 0
- 1
- 1/2
- Negative
Show answer and solution
Correct answer: B. 1
P(certain event) = 1. P(impossible event) = 0. Probabilities lie in [0, 1].
Sum over all mutually exclusive complete outcomes = 1.
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