If the value of the angle θ is 77.32°. Then the value of cos 2θ will be the negative 0.90.
What is trigonometry?
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The trigonometric equation is given below.
tan θ = 40/9
tan θ = 4.444
Then the angle θ will be
θ = tan⁻¹(4.444)
θ = 77.32°
Then the value of cos 2θ will be
cos 2θ = cos (2 x 77.32°)
cos 2θ = cos 154.64°
cos 2θ = - 0.9036
cos 2θ ≅ - 0.90
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