Short Answer 
The initial value given is θ = 84°, which is essential for evaluating trigonometric functions. The equation sin(θ) = cos(6) can be simplified using the identity cos(90° Рa) = sin(a), leading to the conclusion that θ = 84°.
Step 1: Identify the Given Value
The initial value provided is θ = 84°. This sets the basis for the problem, as we need to evaluate how this angle interacts with trigonometric functions. Knowing that the values of trigonometric functions depend heavily on the angle is vital in solving the equation.
Step 2: Set Up the Trigonometric Equation
The equation provided is sin(θ) = cos(6). To find an equivalent angle, we can use the identity cos(90° Рa) = sin(a). This allows us to rewrite cos(6) in terms of sine, which will help simplify the equation.
Step 3: Solve for θ
Using the identity, we replace cos(6) with sin(90° Р6) which equals sin(84°). Therefore, we have sin(θ) = sin(84°). Consequently, this implies that θ = 84°, confirming our original value.