Question

If cosine theta almost-equals 0. 3090, which of the following represents approximate values of sine theta and tangent theta, for 0 degrees less-than theta less-than 90 degrees?.

Answer 1

Sin theta, cosine theta and tangent theta are the angle of trigonometry.

• a)  The value of sine theta is 0.9511.
• b)  The value of tangent theta is 3.078.

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,

$\cos\theta=0.3090$

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,

$\theta=\cos^{-1}(0.3090)$

Solve it further as,

$\theta=72^o$

Hence the value of the angle is 72 degrees.

Use this value to fine the angle of sin theta and tangent theta.

• a) The value of sine theta,

            $\sin72^o=0.9511$

        Hence, the value of sine theta is 0.9511.

• b) The value of tangent theta,

          $\tan72^o=3.078$

        Hence, the value of tangent theta is 3.078.

Hence,

• a)  The value of sine theta is 0.9511.
• b)  The value of tangent theta is 3.078.

Learn more about the trigonometry angles here;

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