Trigonometry (MCR3U - Functions)

what does Cosecant (csc) mean?

Reciprocal of sin (hyp/opp)

What does secant (sec) mean?

Reciprocal of cos (hyp/adj)

What does cotangent (cot) mean?

Reciprocal of tan (adj/opp)

What is the sin0?

0

What is the cos 0?

1

What is the tan 0?

0

What is sin 30?

½

what is cos 30?

sqaure root 3/2

What is tan 30?

√3/3

what is sin 45?

√2/2

what is cos 45?

√2/2

What is tan 45?

1

What sin 60?

√3/2

what is cos 60?

1/2

What is tan 60?

√3

what is sin 90?

1

what is cos 90?

0

what is tan 90?

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What are the reciprocal identities?

1. csc 0=1/sin0

2. sec 0=1/cos0

3. cot 0=1/tan 0

what are the quotient identities?

1. tan 0=sin0/cos 0

2. cot 0=cos0/sin0

what are the Pythagorean identities?

1. sin²0+cos²0=1

2. 1+tan²0=sec²0

3. 1+cot²0=csc²0

what would result in no triangles in regards to ambiguous case?

a<h

what would result in two triangles in regards to ambiguous case?

h (height)<a (hypotenuse)<b

draw the rotation angle and the related acute angle and find the exact value of each ratio:

a)cos(240)=

b)csc(-210)=

write as sin and cos function