IXL - Solve trigonometric equations II (Algebra 2 practice)

Find all solutions with

–

90°

≤

90°

Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.

csc

(

)

–

ref_doc_title.

Learn with an example

question

Find all solutions with

–

90°

≤

90°

Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.

cot

(

)

–

key idea

cot

(

)

tan

(

)

and

tan

(

)

cot

(

)

The table below shows the values of

tan

(

)

for various angles

θ	– 90°	– 60°	– 45°	– 30°	0°	30°	45°	60°	90°
tan ( θ )	Undefined	– 3	– 1	– 3 3	0	3 3	1	3	Undefined

solution

The range of cotangent is all real

numbers.

Since

–

is in the range, this equation has a

solution.

To find the solution, look at the values

cot

(

)

takes at special angles. Since

cot

(

)

tan

(

)

you can find the values of

cot

(

)

by taking the reciprocals of the values of

tan

(

)

θ	– 60°	– 45°	– 30°	0°	30°	45°	60°	90°
tan ( θ )	– 3	– 1	– 3 3	0	3 3	1	3	Undefined
cot ( θ )	– 3 3	– 1	– 3	Undefined	3	1	3 3	0

The value of

for which

cot

(

)

–

45°

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II.14Solve trigonometric equations I

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