Practice Relations Between Ratios (7.4) - Trigonometry - ICSE 9 Mathematics

Practice: Relations Between Ratios

Lesson 7.4Trigonometry

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define tangent and express it in terms of sine and cosine.
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Think about the definition of tangent related to the sides of a triangle.
Question 2.
What is the value of $\tan 45^\circ$ ?
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Recall that sine and cosine for 45 degrees are equal.
3Question 3.
What is the relationship between tangent and sine?
- A. \$ \\tan \\theta = \\frac{\\cos \\theta}{\\sin \\theta} \$
- B. \$ \\tan \\theta = \\frac{\\sin \\theta}{\\cos \\theta} \$
- C. \$ \\tan \\theta = \\sin \\theta + \\cos \\theta \$
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Think about the definition of tangent in terms of sine and cosine.
4Question 4.
Is $\cot \theta = \frac{\sin \theta}{\cos \theta}$ ?
- True
- False
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Recall the definitions of tangent and cotangent.
Question 5.
Find $\tan 60^\circ$ given $\sin 60 = \frac{\sqrt{3}}{2}$ and $\cos 60 = \frac{1}{2}$ .
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Substitute the known sine and cosine values for the angle.
Question 6.
If $\sqrt{\frac{5}{13}} + \sqrt{\frac{8}{13}} = 1$ , how do you relate them to the Pythagorean identity?
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Use the definitions and square both sides.

5 more questions in this section. Enroll free to practise them all.