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Explanation:
As given, sin theta = 2/3
Sin theta = Side Opp. / Hypotenuse
= 2/3
We know that the hypotenuse of a right angle triangle is equal to the square roots of the sum of the squares of the remaining two sides. It is also known as the Pythagoras Theorem. It can be denoted as,
Hypotenuse = √Opposite^2 + Adjacent^2
According to the question,
√3^2 - 2^2 = Side adjacent
or, √9 - 4 = √5 = Side adjacent
Cos theta = Side adjacent / Hypotenuse
= √5/3
Answer:
Cos theta = √5/3
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