Practice Trigonometric Identities (5.3) - Trigonometry

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10 questions

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3 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
4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
State the Pythagorean identity.
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Think about the relationship between sine and cosine.
Question 2.
What is tan45°?
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Consider the triangle formed in a 45°-45°-90° triangle.
3Question 3.
What is the Pythagorean identity?
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Think of a right triangle.
4Question 4.
Is the identity 1 + tan²θ = sec²θ always true?
- True
- False
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Think about how secant relates to tangent.
Question 5.
Demonstrate that the identity 1 + cot²θ = csc²θ holds true for θ = 30°.
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Remember the definitions of cotangent and cosecant.
Question 6.
If sin²A + cos²A = 1 and tanA = 2, find the values of sinA and cosA.
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Substitute tan in terms of sine and cosine.

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