Math  /  Trigonometry

QuestionMatch the expressions using Quotient and Reciprocal Identities:
1. 1csc(θ)-\vee \frac{1}{\csc (\theta)}
2. v1tan(θ)-v \frac{1}{\tan (\theta)}
3. vsin(θ)cos(θ)-v \frac{\sin (\theta)}{\cos (\theta)}
4. v1sec(θ)-v \frac{1}{\sec (\theta)}
5. 1sin(θ)-\vee \frac{1}{\sin (\theta)}
6. v1cot(θ)-v \frac{1}{\cot (\theta)}
7. vcos(θ)sin(θ)-v \frac{\cos (\theta)}{\sin (\theta)}
8. v1cos(θ)-v \frac{1}{\cos (\theta)}

Options: a. sin(θ)\sin (\theta), b. cos(θ)\cos (\theta), c. tan(θ)\tan (\theta), d. csc(θ)\csc (\theta), e. sec(θ)\sec (\theta), f. cot(θ)\cot (\theta).

Studdy Solution
Now, we can match each simplified expression to the corresponding trigonometric function.
. sin(θ)-\vee \sin(\theta) matches with a. sin(θ)\sin (\theta)2. vcot(θ)-v \cot(\theta) matches with f. cot(θ)\cot (\theta)3. vtan(θ)-v \tan(\theta) matches with c. tan(θ)\tan (\theta)4. vcos(θ)-v \cos(\theta) matches with b. cos(θ)\cos (\theta)5. csc(θ)-\vee \csc(\theta) matches with d. csc(θ)\csc (\theta)6. vtan(θ)-v \tan(\theta) matches with c. tan(θ)\tan (\theta)7. vcot(θ)-v \cot(\theta) matches with f. cot(θ)\cot (\theta)8. vsec(θ)-v \sec(\theta) matches with e. sec(θ)\sec (\theta)

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