The solution of the sin (10x) cos (7x) is 1/2 sin(17x ) + sin(3x).
<h3>What are the trigonometric identities?</h3>
We can calculate with the help of one of the trigonometric identities;
sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)
WE have given
sin (10x) cos (7x)
Here, A = 10x
B= 7x
So, sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)
sin(10x) cos(7x) = 1/2 sin(10x + 7x ) + Sin (10x - 7x)
sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)
sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)
Learn more about trigonometric ratios here:
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9514 1404 393
Answer:
48
Step-by-step explanation:
About 2/3 of her 72 shots will land near the hole.
2/3 × 72 = 48
Her ball will land near the hole approximately 48 times.
Cut x (0;5)
Image below shows the graph
Answer:
D.Trapezoid
Step-by-step explanation:
The equation of the parabola is y = 5x² - 11x - 31
<h3>Parabola</h3>
The equation of a parabola is a quadratic equation in the form:
y = ax² + bx + c
Where a, b and c are constants.
At point (2, - 33):
- -33 = a(2)² + b(2) + c
- 4a + 2b + c = -33 (1)
At point (4, 5):
- 5 = a(4)² + b(4) + c
- 16a + 4b + c = 5 (2)
At point (5, 39):
- 39 = a(5)² + b(5) + c
- 25a + 5b + c = 39 (3)
Solving equation 1, 2 and 3 simultaneously gives:
a = 5, b = -11, c = -31.
The equation of the parabola is y = 5x² - 11x - 31
Find out more on parabola at: brainly.com/question/4148030