The value of cos45 will be equal to ( 1 / √2 ).
<h3>What are trigonometric identities?</h3>Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
Let the two sides of the triangle is having a unit length then the hypotenuse of the triangle will be √2.
Apply cosine law for the triangle:-
cos45 = Base / Hypotenuse
cos45 = 1 / √2
Therefore, the value of cos45 will be equal to ( 1 / √2 ).
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Answer:
Given the parent function:
Rule for Horizontal Stretches and Compression:
If parent function y=f(x), then y=f(cx) gives a horizontal stretch when c >1 and
a horizontal compression when 0<c<1.
therefore, by above definition
the function f(x) = is a Horizontal compression by a factor of
therefore, the function f(x) = is HORIZONTAL COMPRESSION of the parent function by a factor of 0.25
