Trigonometry Identities Quiz

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10 Questions

What is the value of (cosec (\theta) - cot (\theta))^2 in terms of (sin (\theta) and (cos (\theta))?

1 - cos (\theta)

What is the value of tan (A) + cot (A) in terms of sin (A) and cos (A)?

sec (A) + cosec (A)

What is the value of cos (A) in terms of sec (A)?

1 / sec (A)

What is the value of (sin (A) + cosec (A))^2 + (cos (A) + sec (A))^2?

7 + tan^2 (A) + cot^2 (A)

What is the value of (cosec (A) - sin (A))(sec (A) - cos (A))?

tan (A) + cot (A)

What is the value of 1 + sec (A) in terms of sin (A)?

2 / (1 + sin (A))

What is the value of cos (\theta) in terms of sin (\theta)?

$\sqrt{1 - sin^2 (\theta)}$

What is the value of (sin (\theta) - 2 sin^3 (\theta)) / (2 cos^3 (\theta) - cos (\theta))?

tan (\theta)

What is the value of tan (A) in terms of sin (A) and cos (A)?

sin (A) / cos (A)

What is the value of (1 + tan^2 (A)) / (1 - tan^2 (A))?

sec^2 (A)

Solve the trigonometric identities and equations to find the correct answer. Various trigonometric functions like sine, cosine, tangent, secant, cosecant, and cotangent are used.

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