Answer :
The value of the given trigonometric function equation cos(θ + π/4) - cos(θ - π/4) will be -√2 sinθ.
What is a trigonometric function?
The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
It is known that,
Cos(A + B) = cosAcosB - sinAsinB
Cost(A - B) = cosAcosB + sinAsinB
As per the given,
cos(θ + π/4) - cos(θ - π/4)
(cosθ cos π/4 - sinθ sin π/4) - (cosθ cos π/4 + sinθ sin π/4)
-2 sinθ sin π/4
-2 sinθ (1/√2)
-√2 sinθ
Hence "The value of the given trigonometric function equation cos(θ + π/4) - cos(θ - π/4) will be -√2 sinθ".
For more information about the trigonometric function,
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