how can we calculate the value of
Sec50 degree+tan 50 degree
To calculate the value of sec(50 degrees) + tan(50 degrees), you can follow these steps:
1. Start by finding the value of sec(50 degrees):
- The secant function is the reciprocal of the cosine function. So, sec(x) = 1/cos(x).
- Use a calculator or a reference table to find the value of cos(50 degrees). In this case, cos(50 degrees) is approximately 0.6428.
- Now, find sec(50 degrees) by taking the reciprocal of cos(50 degrees): sec(50 degrees) = 1/0.6428 ≈ 1.555.
2. Next, find the value of tan(50 degrees):
- The tangent function can be found directly without any reciprocal operation.
- Again, use a calculator or a reference table to find the value of tan(50 degrees). In this case, tan(50 degrees) is approximately 1.1918.
3. Finally, add the values of sec(50 degrees) and tan(50 degrees):
- sec(50 degrees) ≈ 1.555
- tan(50 degrees) ≈ 1.1918
- sec(50 degrees) + tan(50 degrees) ≈ 1.555 + 1.1918 ≈ 2.7468
Therefore, sec(50 degrees) + tan(50 degrees) is approximately equal to 2.7468.
sec50 + tan50 =
1/cos50 + tan50 = 1.557 + 1.19 = 2.74.