Question

In a right triangle, cosine a = 0.352 and sine a = 0.936. what is the approximate value of tangent a? 0.329 0.376 1.288 2.659

Answer 1

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.

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}$

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,

$\tan (a)=\dfrac{\sin(a)}{\cos(a)}\\\tan (a)=\dfrac{0.936}{0.352}\\\tan(a)=2.659$

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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