Which is the principal value of arctan (3.7)?
PLEASE HELPP CANT GET IT WRONG

1.42π rad

Step-by-step explanation:

Principal value are known to be the largest value that can be equivalent to the trigonometry expression given.

Given

θ = arctan (3.7)

θ = 74.9°

The principal value of the angle can be found in the 3rd quadrant.

In the third quadrant, the angle gotten will become 180° + 74.9°

= 254.9°

Converting to radians

Since πrad = 180°

x = 254.9°

180x = 254.9π

x = 254.9π/180

x = 1.42π rad

The principal value of the angle is 1.42π rad.

go and ask your mom to you

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week