What is the sum trigonometric ratios sin 33 and sin 57
To calculate the sum of the trigonometric ratios sin 33 and sin 57, you can use a scientific calculator or reference tables. However, I can also explain how to find the answer using the unit circle.
1. Start by drawing a unit circle, which is a circle with a radius of 1 unit.
2. Mark the central angle of 33 degrees on the unit circle. At this angle, the terminal side intersects the unit circle at a certain point P1.
3. Now, mark the central angle of 57 degrees on the unit circle. At this angle, the terminal side intersects the unit circle at a certain point P2.
4. The coordinates of point P1 will give you the values of sin 33. Let the x-coordinate of P1 be x1, and the y-coordinate be y1.
5. Similarly, the coordinates of point P2 will give you the values of sin 57. Let the x-coordinate of P2 be x2, and the y-coordinate be y2.
6. The sum of sin 33 and sin 57 is equal to the sum of y1 and y2 (since y-coordinate represents the value of sine on the unit circle).
7. Calculate y1 and y2 by using the coordinates of point P1 and P2, respectively, and then find the sum of y1 and y2.
Alternatively, you can use a scientific calculator in degree mode to find the sum of sin 33 and sin 57. Simply enter "sin 33" and "sin 57" into the calculator, and add the obtained values.
Please note that the specific numerical value of sin 33 and sin 57 will depend on whether the angle is measured in degrees or radians.
hmmmm, I notice that 33 + 57 = 30 + 60 = 90
if you just mean sin 33/ sin 57 that is sin 33 / cos 33 = tan 33
but if you mean it the way you said it
so we have sin 33 + sin(90-33)
= sin 33 + cos 33
in a right triangle that would be a/sqrt(a^2+b^2) + b /sqrt(a*2+b^2)
= (a+b)/ sqrt(a^2+b^2)