Which of the following equation is correct?

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  1. Sinθ = Perpendicular / Base
  2. Sinθ = Base / Perpendicular
  3. Sinθ = Base / Hypotenuse
  4. Sinθ = Perpendicular / Hypotenuse

Answer (Detailed Solution Below)

Option 4 : Sinθ = Perpendicular / Hypotenuse
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Detailed Solution

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Concept Used:

In trigonometry, the sine of an angle (θ) in a right triangle is defined as:

Sinθ = Perpendicular / Hypotenuse

Where:

  • Perpendicular: The side opposite to the angle θ.

  • Hypotenuse: The longest side of the triangle.

Calculation:

Option 4 matches the trigonometric definition of Sinθ.

⇒ Sinθ = Perpendicular / Hypotenuse

∴ The correct equation is Option 4.

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Last updated on Jul 1, 2025

-> The Indian Army has released the Exam Date for Indian Army Havildar SAC (Surveyor Automated Cartographer).

->The Exam will be held on 9th July 2025.

-> Interested candidates had applied online from 13th March to 25th April 2025.

-> Candidates within the age of 25 years having specific education qualifications are eligible to apply for the exam.

-> The candidates must go through the Indian Army Havildar SAC Eligibility Criteria to know about the required qualification in detail. 

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