Use the sum of angles's trigonometric identity formula:
cos(A+B)=(cosAcosB-sinAsinB)
x+y=4cos(t+π/6)+2sint=4(cost*cosπ/6-sint*sinπ/6)+2sint
recall that cosπ//6=√3/2, and sinπ/6=1/2:
4(cost*cosπ/6-sint*sinπ/6)+2sint=4[(√3/2)cost-(1/2)sint]+2sint
simplify:2√3cost-2sint+2sint=2√3cost
Answer:
49.6cm
Step-by-step explanation: First you have to find the diameter of the circle by multiplying the radius by 2.
8x2=16
Then multiply 16 by 3.1
16x3.1=49.6
Answer:
28
Step-by-step explanation:
Any whole number can be broken down into its <em>prime factorization</em>, a product of all the prime number factors of a number. We can use a diagram called a <em>factor tree </em>to break numbers down into those factors. I've attached an image with the factor trees of 84 and 56 so you can see this process; 84 breaks down into 2 × 2 × 3 × 7, and 56 is 2 × 2 × 2 × 7. We can find the greatest common factor of these numbers by collecting all the prime factors they have in common and multiplying them together. 84 and 56 have 2, 2, and 7 in common, so their greatest common factor is 2 × 2 × 7 = 28
The answer is 34 because when I add 14+20 that give me 34
Answer:
14.4
Step-by-step explanation:
sin x = 24/30
x = sin^-1 (24/30) = 53.13
sin 53.13 = x/18
x = sin 53.13 x 18 = 14.4