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Trigonometric ratios questions and answers pdf 2025

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The document is an independent practice worksheet focused on trigonometric ratios, specifically sine and cosine. It includes various problems requiring students to calculate these ratios and apply them to real-world scenarios, such as determining distances related to a pole's shadow and a hockey stick leaning against a wall.

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What is the theorem on equal ratios?

Theorem on Equal Ratios (i) If a t = u b = c d , then a b = c d = a + c b + d This property is known as theorem on equal ratios. (ii) If. ( finite terms and if l , m , n , are non-zero numbers such that. 0 , then each ratio.

What is the Pythagorean ratio?

In musical tuning theory, a Pythagorean interval is a musical interval with a frequency ratio equal to a power of two divided by a power of three, or vice versa. For instance, the perfect fifth with ratio 3/2 (equivalent to 31/ 21) and the perfect fourth with ratio 4/3 (equivalent to 22/ 31) are Pythagorean intervals.

What are the ratios for the Pythagorean theorem?

Let ABC be a triangle with side lengths a, b, and c, with a2 + b2 = c2. Construct a second triangle with sides of length a and b containing a right angle. By the Pythagorean theorem, it follows that the hypotenuse of this triangle has length c = a2 + b2, the same as the hypotenuse of the first triangle.

How do you answer trigonometric ratios?

13:10 17:51 And so you should get this answer x is equal to 56.3 degrees. And so thats how you can calculateMoreAnd so you should get this answer x is equal to 56.3 degrees. And so thats how you can calculate the angle using a trigonometric ratio. Heres a problem for you.

What is a simple trick to remember trigonometric ratios?

0:11 2:35 One two three four and five now lets say you have to work out sine of 30 degrees. All right this isMoreOne two three four and five now lets say you have to work out sine of 30 degrees. All right this is the finger for 30 degrees. Now we count the fingers to the right from here we have one finger.

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What are the 6 ratios of trigonometry?

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle.

What is the Pythagorean theorem for ratios?

ing to this theorem, in any right-angled triangle, the square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides (legs). This theorem can be applied to trigonometric ratios (as they are defined for a right-angled triangle) that results in Pythagorean identities.

Trigonometric ratios questions and answers pdf 2025

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