Tan13pi/4 a. use the fact that there are 2pi radians in each circle to find another angle, smaller than 2 pi, that is equivalent to 13pi/4. b. find the tangent of the angle you found in part a. this is also 13pi/4.

1

Step-by-step explanation:

Tan 13π/4 = tan(3π + 1/4π)

According to the trigonometry identity;

tan(A+B) = tanA + tanB/1-tanAtanB

If A = 3π and B = π/4

tan(3π + 1/4π) = tan 3π + tanπ/4/1-tan3πtanπ/4

If πrad = 180°

tan(3π + 1/4π) = tan 540° + tan45°/1-tan540°tan45°

tan(3π + 1/4π) = 0+1/1-0(1)

tan(3π + 1/4π) = 1/1-0

tan(3π + 1/4π) = 1/1

tan(3π + 1/4π) = 1

tan 13π/4 = 1

hey seth! : )

i’m not 100% sure, but i think it’s b

hope this ya : p

miss u!

- nicole

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.