quiz

Question 1

reciprocal identity

Answer 1

sin = 1/csc
cos= 1/sec
csc= 1/sin
sec= 1/cos
tan=1/cot
cot=1/tan

Question 2

quotient identies

Answer 2

tan=sin/cos
cot= cos/sin

Question 3

pythag identities

Answer 3

sin2+cos2=1
tan2+1=sec2
1+cot2=csc2

Question 4

double angle identities

Answer 4

sin 2x=2sinxcosx

cos2x= cos2x-sin2x
=2cos2x-1
1-2sin2x

Question 5

sum and difference identities

Answer 5

sin (x+y) = sinxcosy + cosxsiny
sin (x-y) = sinxcosy - cosxsiny
cos(x+y)= cosxcosy - sinxsiny
cos(x-y)= cosxcosy + sinxsiny

everything opp for cos opp sins and opp liek trig together

Question 6

complementary identies

Answer 6

sin(pi/2 -x)=cosx
cos(pi/2-x)=sin x

Question 7

even odd identities

Answer 7

sin(-x)=-sin(x)
cos(-x)= cos(x)