2 sin®49-1cos53 - cos 37

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To simplify the expression, we will first convert the given trigonometric functions into their respective sine and cosine functions.

Given:
2 sin(49) - cos(53) - cos(37)

Using trigonometric identities:
sin(x) = cos(90 - x)

We can rewrite the expression as:
2 sin(49) - cos(53) - cos(37)
= 2 cos(41) - cos(53) - cos(37)
= 2 cos(41) - cos(53) - cos(37)

Now we can calculate the values of cos(41), cos(53), and cos(37) using a calculator.

cos(41) ≈ 0.75
cos(53) ≈ 0.6
cos(37) ≈ 0.797

Substitute these values back into the expression:
2 cos(41) - cos(53) - cos(37)
= 2(0.75) - 0.6 - 0.797
= 1.5 - 0.6 - 0.797
= 1.5 - 1.397
= 0.103

Therefore, the simplified value of the expression 2 sin(49) - cos(53) - cos(37) is approximately 0.103.