Verifying Trigonometric Identities

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Trigonometry

After watching the Yay Math video on this concept, take this quiz to see how much you've learned! See the results right when you're done, AND, there's even an option to send the results to an email of your choice. Good luck, no pressure, and YAY MATH!

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Which trig identities are true? Please check all that apply. *

(You'll notice that for simplicity purposes, the mention of the angle, θ, has been omitted. Officially, it's sin θ and cos θ.)

1 point

tan = 1/cot

sin = 1/csc

cos/sin = cot

sin/cos = tan

sec = 1/cos

Required

Which of the following expressions is equivalent to 1? *

1 point

tan²θ – sec²θ

sec²θ – tan²θ

Which of the following expressions is equivalent to 1? *

1 point

cot²θ – csc²θ

csc²θ – cot²θ

sec θ / csc θ is equivalent to: *

1 point

tan θ

sec θ

sin θ ⋅ cos θ

cot θ

cot²θ / csc θ is equivalent to: *

1 point

cos θ – sec θ

csc θ – sin θ

tan θ – cot θ

(sec θ + 1)(sec θ – 1) / tan θ is equivalent to: *

1 point

cot θ

–cot θ

–tan θ

tan θ

2 – sec²θ is equivalent to: *

1 point

1 – cot²θ

1 – tan²θ

1 – sin²θ

(sin θ ⋅ tan θ) / (1 – cosθ) is equivalent to: *

1 point

1 – sin θ

1 + sec θ

1 + csc θ

1 – cos θ

(1 – sin θ)(sec θ + tan θ) is equivalent to: *

1 point

cot θ

sec θ

sin θ

cos θ

csc θ / (1 – csc²θ) is equivalent to: *

(Hint: Pythagorean Identities)

1 point

sec θ ⋅ cot θ

tan θ ⋅ csc θ

–sin θ ⋅ cot θ

–sec θ ⋅ tan θ

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