Find two solutions of the equation. give your answers in degrees (0° ≤ θ < 360°) and in radians (0 ≤ θ < 2π). do not use a calculator. (do not enter your answers with degree symbols.)

(a) cos θ = √2/2

degrees (sm & lg values) radians (sm & lg)

(b) cos θ = - √2/2

degrees (sm & lg values) radians (sm & lg)

Step-by-step explanation:

a) cos θ = √2/2

   That is

   In degrees the values are 45° and 315°

b) cos θ = -√2/2

   That is

   In degrees the values are 135° and 225°

22 dimes and 9 nickels

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for