Practice Reciprocal Ratios - 7.3 | 7. Trigonometry | ICSE 9 Mathematics
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Reciprocal Ratios

7.3 - Reciprocal Ratios

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the cosecant of an angle θ if the opposite side is 5 and the hypotenuse is 13?

💡 Hint: Remember to use the definition of cosecant.

Question 2 Easy

What is the secant of an angle θ if the adjacent side is 6 and the hypotenuse is 10?

💡 Hint: Recall the definition of secant.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the cosecant of a 90° angle?

1
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💡 Hint: Think about the sine value at 90°.

Question 2

True or False: Sec θ is the reciprocal of sin θ.

True
False

💡 Hint: Review the definitions of secant and sine.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If cot θ = 2, and you know that θ lies in the first quadrant, find sin θ and cos θ.

💡 Hint: Use the identity x² + (x/2)² = 1.

Challenge 2 Hard

In a right triangle, if the adjacent side is 12 and the opposite side is 16, find the cosecant, secant, and cotangent of the angle between them.

💡 Hint: Use the triangle relationships and the definitions to find values.

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