Sin theta, cosine theta and tangent theta are the angle of trigonometry.
What are the angle in trigonometry?
There are total six angles in the trigonometry which are sin theta, cosine theta, tangent theta, cotangent theta, secant theta, co secant theta.
Given information-
The value of the cosine theta given in the problem is 0.3090.
It can be written as,
[tex]\cos\theta=0.3090[/tex]
To find the value of theta, took the cosine function to other side of the equation.
This will make the cosine angle as arc cosine. Thus,
[tex]\theta=\cos^{-1}(0.3090)[/tex]
Solve it further as,
[tex]\theta=72^o[/tex]
Hence the value of the angle is 72 degrees.
Use this value to fine the angle of sin theta and tangent theta.
[tex]\sin72^o=0.9511[/tex]
Hence, the value of sine theta is 0.9511.
[tex]\tan72^o=3.078[/tex]
Hence, the value of tangent theta is 3.078.
Hence,
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