sin(π/2-x)
To find the value of sin(π/2 – x), we can use the properties of sine functions
To find the value of sin(π/2 – x), we can use the properties of sine functions.
The first property we will use is sin(π/2 – x) = cos(x). This property states that the sine of the complementary angle to x is equal to the cosine of x.
So, sin(π/2 – x) = cos(x).
If we know the value of x, we can find cos(x) using the unit circle or a calculator.
For example, let’s say x = π/4.
cos(π/4) can be found by referring to the unit circle or using a calculator. The value of cos(π/4) is √2/2.
Therefore, sin(π/2 – π/4) = cos(π/4) = √2/2.
So, sin(π/2 – x) = cos(x) = √2/2 when x = π/4.
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