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1.5 Trigonometry

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Question 41

In triangle DEFDEFDEF, ED=5cmED = 5\text{cm}ED=5cm and EF=6cmEF = 6\text{cm}EF=6cm. Given that sin⁡(∠DEF)=23\displaystyle \sin(\angle DEF) = \frac{2}{3}sin(∠DEF)=32​ and ∠DEF \angle DEF\,∠DEF is acute.

a.

Find the exact value of cos⁡(∠DEF)\cos(\angle DEF)cos(∠DEF)

[2]
b.

Find the length of DFDFDF.

[4]
c.

Find ∠EFD\angle EFD∠EFD.

[3]

1.5 Trigonometry Questions

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