Exploring Basic Trigonometric Ratios and Reciprocals

The video tutorial introduces reciprocal functions and their relation to trigonometric ratios in right-angled triangles. It explains the basic trigonometric ratios: sine, cosine, and tangent, using the mnemonic SOHCAHTOA. The tutorial then delves into the reciprocal functions: cosecant, secant, and cotangent, explaining their definitions and how they relate to the original functions. The video also discusses the origins and meanings of trigonometric terms and provides tips for remembering reciprocal functions.

What is the primary context in which reciprocal functions are introduced?

• Equilateral triangle

• Right-angled triangle

• Isosceles triangle

• Scalene triangle

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CCSS.HSG.SRT.C.7

Which mnemonic is used to remember the trigonometric ratios?

• SOHCAHTOA

• Sine Rule

• Cosine Rule

• Pythagoras

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CCSS.HSG.SRT.C.6

What does the 'S' in SOHCAHTOA stand for?

• Sine and Cosine

• Sine

• Sine and Tangent

• Secant

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CCSS.HSG.SRT.C.6

What is the reciprocal function of sine called?

• Secant

• Cosecant

• Cotangent

• Tangent

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CCSS.HSF.TF.A.2

What is the reciprocal function of cosine called?

• Tangent

• Cotangent

• Cosecant

• Secant

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CCSS.HSF.TF.A.2

What is the reciprocal function of tangent called?

• Secant

• Cosecant

• Cotangent

• Tangent

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CCSS.HSF.TF.A.2

What does 'tan' stand for in trigonometric functions?

• Tangent

• Tangent and Sine

• Tangent and Cosine

• Tangent and Secant

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CCSS.HSG.SRT.C.6

What does 'cosec' stand for?

• Cosine

• Cotangent

• Secant

• Cosecant

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CCSS.HSG.SRT.C.6

What is the origin of the word 'sine'?

• It means 'curvy' in an ancient language

• It means 'straight' in an ancient language

• It means 'angle' in an ancient language

• It means 'line' in an ancient language

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CCSS.L.5.4B

CCSS.L.6.1E

What is a simple trick to remember the reciprocal functions?

• Look at the third letter of each function

• Look at the first letter of each function

• Look at the second letter of each function

• Look at the last letter of each function

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CCSS.HSF.BF.B.3