Using identities to simplify expressions and prove results (HSC SSCE Mathematics Extension 1): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is a trigonometric identity?
What is a trigonometric identity?
An equation with trig functions
What does the Pythagorean identity state?
What does the Pythagorean identity state?
sin²θ + cos²θ = 1
What is the reciprocal identity for sinθ?
What is the reciprocal identity for sinθ?
sinθ = 1/cscθ
What does the quotient identity express?
What does the quotient identity express?
tanθ = sinθ/cosθ
How do you simplify 1 + tan²θ?
How do you simplify 1 + tan²θ?
sec²θ
What is the first step in proving cos²θ = 1 - sin²θ?
What is the first step in proving cos²θ = 1 - sin²θ?
Start with sin²θ + cos²θ = 1
What is the correct identity for sin(-θ)?
What is the correct identity for sin(-θ)?
sin(-θ) = -sinθ
What is the solution for 2sin²θ - 1 = 0?
What is the solution for 2sin²θ - 1 = 0?
θ = π/4 + nπ
What is the result of simplifying 1/(tan²θ + 1)?
What is the result of simplifying 1/(tan²θ + 1)?
cos²θ
What is the value of sec²θ when 3sec²θ - 4 = 0?
What is the value of sec²θ when 3sec²θ - 4 = 0?
4/3