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? sine theta almost-equals 0. 9511; tangent theta almost equals 0. 3249 sine theta almost-equals 0. 9511; tangent theta almost equals 3. 0780 sine theta almost-equals 3. 2362; tangent theta almost-equals 0. 0955 sine theta almost-equals 3. 2362; tangent theta almost-equals 10. 4731.

Answer 1

Sine theta almost-equals 0. 9511 and tangent theta will almost equals

3. 0780

What are sin theta,cos theta, and tan theta in trigonometry?

It is given that-

The  cosine theta have the value =0.3090.

We can be write as,

cos∅=0.9090

To find the value of theta, We will take cosine function  of the value 0.3090

This will make the cosine angle as arc cosine. Thus,

∅=$COS^{-1}$(0.3090)

Solve it further as,

∅=72°

Hence the value of the angle is 72 degrees.

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

The value of sine theta,

       

      sin 72°=0.9511

Hence, the value of sine theta is 0.9511.

The value of tangent theta,

tan 72°=3.078.

         

Hence, the value of tangent theta is 3.078.

Hence,

•  The value of sine theta is 0.9511.

•  The value of tangent theta is 3.078.

To know more about the trigonometry angles here;

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