Question

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)

Answer 1

9514 1404 393

Answer:

  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)