10 grade maths
Evaluate the following: cos(37°) / sin(53°)
Evaluate the following: cos(37°) / sin(53°)
1 Answer
Askiitians Tutor Team
We are asked to evaluate the expression:
cos(37°) / sin(53°).
To solve this, we can use the following trigonometric identity:
cos(37°) = sin(53°).
This identity comes from the co-function identity, which states that:
cos(θ) = sin(90° - θ).
In this case:
cos(37°) = sin(90° - 37°) = sin(53°).
Therefore, the expression simplifies as follows:
cos(37°) / sin(53°) = sin(53°) / sin(53°).
Since both the numerator and the denominator are the same, the result is:
So, the value of cos(37°) / sin(53°) is 1.
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