To calculate this expression, we need to follow the order of operations (PEMDAS/BODMAS):
Calculate the sine of 132 degrees: sin(132) ≈ 0.4794Calculate the cosine of 66 degrees: cos(66) ≈ 0.4067Calculate the cosine of 24 degrees: cos(24) ≈ 0.9076Multiply sin(132) by 13: 13 * 0.4794 ≈ 6.2312Multiply the result of step 4 by cos(24): 6.2312 * 0.9076 ≈ 5.6528Divide the result of step 5 by cos(66): 5.6528 / 0.4067 ≈ 13.9057
Therefore, the result of 13sin(132) / cos(66)cos(24) is approximately 13.9057.
To calculate this expression, we need to follow the order of operations (PEMDAS/BODMAS):
Calculate the sine of 132 degrees: sin(132) ≈ 0.4794Calculate the cosine of 66 degrees: cos(66) ≈ 0.4067Calculate the cosine of 24 degrees: cos(24) ≈ 0.9076Multiply sin(132) by 13: 13 * 0.4794 ≈ 6.2312Multiply the result of step 4 by cos(24): 6.2312 * 0.9076 ≈ 5.6528Divide the result of step 5 by cos(66): 5.6528 / 0.4067 ≈ 13.9057Therefore, the result of 13sin(132) / cos(66)cos(24) is approximately 13.9057.