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In a right angled triangle, the trigonometric function that is equal to the ratio of the side opposite a given angle to the hypotenuse is called cosine.
  • a)
    False
  • b)
    True
Correct answer is option 'A'. Can you explain this answer?
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Statement: In a right angled triangle, the trigonometric function that is equal to the ratio of the side opposite a given angle to the hypotenuse is called cosine.

Explanation:
A right-angled triangle is a triangle that has one angle measuring 90 degrees. The other two angles are acute angles, meaning they are less than 90 degrees.

Definition of Cosine:
Cosine is a trigonometric function that relates the angle of a right-angled triangle to the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In other words, cosine is the ratio of the length of the side adjacent to an angle to the length of the hypotenuse.

Explanation of the Statement:
The given statement is false. The trigonometric function that represents the ratio of the side opposite a given angle to the hypotenuse is called sine, not cosine.

Correct Answer:
The correct answer is option 'A' (False).

Summary:
In a right-angled triangle, the trigonometric function that represents the ratio of the side opposite a given angle to the hypotenuse is called sine, not cosine. Therefore, the given statement is false.
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In a right angled triangle, the trigonometric function that is equal to the ratio of the side opposite a given angle to the hypotenuse is called cosine.a)Falseb)TrueCorrect answer is option 'A'. Can you explain this answer?
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