2 QUESTION 1
1.1
Given that sin 61° = Jt , determine in its simplest form, the values of each of the
following in terms of t, WITHOUT using a calculator:
1.1.1
sin 241°
1.1.2 cos61°
(2)

9514 1404 393

  1.1.1  sin(241°) = -√t

  1.1.2  cos(61°) = √(1 -t)

Step-by-step explanation:

Given:

 sin(61°) = √t

Find:

  1.1.1  sin(241°)

  1.1.2  cos(61°)

Solution:

1.1.1  sin(180° +x) = -sin(x)

  sin(241°) = -sin(61°) = -√t

__

1.1.2  cos(x) = √(1-sin²(x))

  cos(61°) = √(1 -(√t)²) = √(1 -t)

step-by-step explanation:

cats

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet