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)

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)