Trigonometry Ratios and Values Quiz
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Questions and Answers

What are the six trigonometric ratios defined in a right-angled triangle?

sine, cosine, tangent, cosecant, secant, and cotangent

In a right triangle ABC, what is the hypotenuse and which angle is it opposite to?

The hypotenuse is AC and it is opposite to the right angle B.

What is the formula for the sine of angle A in right triangle ABC?

$\sin A = \frac{BC}{AC}$

Define the cosecant of angle A in terms of sides of the right triangle ABC.

<p>$\csc A = \frac{1}{\sin A} = \frac{AC}{BC}$</p> Signup and view all the answers

What are the reciprocals of sine, cosine, and tangent in a right-angled triangle?

<p>cosecant, secant, and cotangent respectively</p> Signup and view all the answers

In a right-angled triangle ABC, which ratio is defined as the opposite side over the hypotenuse?

<p>Sine</p> Signup and view all the answers

If the tangent of angle A in right triangle ABC is 0.6, what is the value of the sine of angle A?

<p>0.8</p> Signup and view all the answers

What is the reciprocal of the cosine of angle A in right triangle ABC?

<p>Cosecant</p> Signup and view all the answers

If the cotangent of angle A in right triangle ABC is 0.7, what is the value of the secant of angle A?

<p>1.4</p> Signup and view all the answers

What is the value of the tangent of angle A in right triangle ABC if the sine of angle A is 0.6?

<p>0.6</p> Signup and view all the answers

What are the three trigonometric ratios of ∠A in a right triangle ABC?

<p>sine, cosine, tangent</p> Signup and view all the answers

If the sine of angle A in right triangle ABC is 0.5, what is the value of the cosine of angle A?

<p>0.866</p> Signup and view all the answers

Define the tangent of angle A in terms of the sides of right triangle ABC.

<p>opposite side (BC) / adjacent side (AB)</p> Signup and view all the answers

If the secant of angle A in right triangle ABC is 2, what is the value of the cosine of angle A?

<p>0.5</p> Signup and view all the answers

What are the reciprocals of sine, cosine, and tangent in a right-angled triangle?

<p>cosecant, secant, cotangent</p> Signup and view all the answers

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