IXL - Pythagorean identities: sine and cosine (Geometry practice)

sin

(

)

and

0°

90°

what is

cos

(

)

Write your answer in simplified, rationalized form.

cos

(

)

ref_doc_title.

Learn with an example

question

cos

(

)

and

0°

90°

what is

sin

(

)

Write your answer in simplified, rationalized form.

sin

(

)

key idea

Pythagorean Identities:

sin

(

)

cos

(

)

tan

(

)

sec

(

)

cot

(

)

csc

(

)

The sign of a trigonometric function of

is determined by the quadrant

is in.

sin

(

)

cos

(

)

sin

(

)

cos

(

)

sin

(

)

cos

(

)

sin

(

)

cos

(

)

III

solution

Use the Pythagorean identity

sin

(

)

cos

(

)

to find

sin

(

)

sin

(

)

cos

(

)

sin

(

)

Plug in

cos

(

)

Plug in

cos

(

)

sin

(

)

225

289

Square

sin

(

)

Subtract

225

289

from both sides

289

Subtract

225

289

from both sides

sin

(

)

Take the square root of both sides

So,

sin

(

)

–

Since

0°

90°

is in the first quadrant. So,

sin

(

)

is positive, which means that

sin

(

)

$Confetti$

Excellent!

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Q.2Trigonometric ratios with radicals: sin, cos, and tan

Z.1Solve a quadratic equation using square roots

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