Problems Based on Trigonometric Ratios

The video tutorial explains the basic definitions of trigonometric ratios: sine, cosine, and tangent, using the mnemonic 'Cartur'. It further discusses the reciprocal ratios: cosecant, secant, and cotangent. The tutorial highlights that the values of these ratios remain constant for a given angle, regardless of the triangle's side lengths. It also explains that the hypotenuse, being the longest side, results in sine and cosine values always being less than one, while secant and cosecant are greater than one. The video concludes with a discussion on trigonometric notations and the concept of triangle similarity based on equal trigonometric ratios.

What is the definition of sine in terms of a right triangle?

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Explain the relationship between cosecant and sine.

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Why are the values of sine and cosine always less than one?

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What can you say about the values of secant and cosecant compared to one?

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How do the lengths of the sides of a triangle affect the trigonometric ratios if the angle remains the same?

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