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Write 2 expressions that canbe used to find the value of x.

Write 2 Expressions That Canbe Used To Find The Value Of X class=

Sagot :

The Solution.

By Trigonometrical Ratios, we have,

SOH, CAH, TOA

Where S

Where in the case at hand,

H = 11

To find the value of x in the given problem,

Taking 25 degrees as our angle of interest, we have,

[tex]\begin{gathered} \cos 25=\frac{Adj}{Hyp}=\frac{x}{11} \\ \\ \cos 25=\frac{x}{11} \\ \text{Cross multiplying, we get} \\ x=11\cos 25 \end{gathered}[/tex]

One of the required expressions is:

[tex]x=11\cos 25^o[/tex]

Similarly, taking 65 degrees as the angle of interest, we have

[tex]\begin{gathered} \sin 65=\frac{opp}{Hyp}=\frac{x}{11} \\ \\ \sin 65=\frac{x}{11} \\ \text{Cross multiplying, we get} \\ x=11\sin 65 \end{gathered}[/tex]

The other required expression for finding x is:

[tex]x=11\sin 65^o[/tex]

The correct answers are;

x = 11 sin 65 degrees

x = 11 cos25 degrees

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