The value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
What are the trigonometric ratios?
Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle. The value of tangent of angle is equal to the ratio of sine of that angle to the cosine of that angle.
[tex]\tan\theta=\dfrac{\sin\theta}{\cos\theta}[/tex]
Here, θ is the angle.
The value of angle given in the problem are,
- Cosine a = 0.352
- Sine a = 0.936.
Put these values in the above fromula as,
[tex]\tan (a)=\dfrac{\sin(a)}{\cos(a)}\\\tan (a)=\dfrac{0.936}{0.352}\\\tan(a)=2.659[/tex]
Hence, the value of tangent a in the right triangle in which , cosine a = 0.352 and sine a = 0.936 is 2.659.
Learn more about the trigonometric ratios here;
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