Maths / Introduction to Trigonometry / Trigonometric Ratios

QUESTION
 

Find all the six trigonometric ratios of angle  Theta  in the triangle given.

EXPLANATION
Explain TypeExplanation Content
Text

`sinTheta =frac {length : : of : : side: : opposite: : angle: : Theta }{length: : of : : hypotenuse}=frac {9}{41}

cos Theta =frac {length : : of : : side: : adjacent : : to : : angle: : Theta }{length: : of : : hypotenuse}=frac {40}{41}                                              (Diagram)

tan Theta =frac {sinTheta }{cosTheta }=frac {9/41}{40/41}=frac {9}{40}                                                                    [ratio identity]

cotTheta =frac {1}{tanTheta }=frac {40}{9}                                                                                         [reciprocal identity]

secTheta =frac {1}{cosTheta }=frac {41}{40}                                                                                         [reciprocal identity]

cosecTheta =frac {1}{sinTheta }=frac {41}{9}                                                                                    [reciprocal identity]

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