If cos=5 by 13 find the value of sin

The value of sin is : 12/13

Step-by-step explanation:

The formula for cosine of an angle is the length adjacent to that angle divided by the hypotenuse.

This means if ;

cos∅ = A/H  

then using this information and given that;

cos ∅ = 5 by 13

cos ∅ = 5/13

You can find the opposite side length from Pythagorean relationship as;

13²-5²=b²

144 = b²

√144 = b

12 = b

Opposite side length = 12

Sin ∅ = opposite side length / hypotenuse

Sin ∅ = 12/13

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step-by-step explanation: