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aleksklad [387]
3 years ago
5

Please help! Thank you​

Mathematics
1 answer:
Rudiy273 years ago
8 0

Answer:

Step-by-step explanation:

since it is an isosceles triangle other two angles are 45 and 45 degree.

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/\sqrt{2=x/\sqrt{12

do cross multiplication

x\sqrt{2=\sqrt{12

x=\sqrt{12/\sqrt{2

x=\sqrt{3

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Hi there!

To solve, we must use the following trig identity:

sin(u - v) = sin(u)cos(v) - sin(v)cos(u)

We can rewrite the left hand side of the equation as:

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Split the fraction:

\frac{sin(u)cos(v)}{sin(u)cos(v)} - \frac{sin(v)cos(u)}{sin(u)cos(v)} =

First fraction reduces to 1:

1 - \frac{sin(v)cos(u)}{sin(u)cos(v)} =

Simpify each with common arguments:

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