Trig Identities Questions with Rationale 2024

Trig Identities Questions with Rationale 2024 reciprocal identities 1. sinB=1/cscB 2. cosB= 1/secB 3. tanB= 1/cotB 4. cscB= 1/sinB 5. secB=1/cosB 6. cotB=1/tanB quotient identities 1. sinB/cosB=tanB 2. cosB/sinB=cotB Brainpower Read More Previous Play Next Rewind 10 seconds Move forward 10 seconds Unmute 0:07 / 0:15 Full screen pythagorean identities 1. sin^2B+cos^2B=1 2. tan^2B+1=sec^2B 3. cot^2B+1=csc^2B odd-even identities 1. sin(-B)=-sinB 2. cos(-B)=cosB 3. tan(-B)=-tanB 4. csc(-B)=-cscB 5. sec(-B)=secB 6. cot(-B)=-cotB sum and difference identities 1. sin(A+-B)= sinAcosB+-cosAsinB 2. cos(A+-B)= cosAcosB-+sinAsinB 3. tan(A+-B)= (sin(A+-B))/(cos(A+-B)) or (tanA+-tanB)/(1-+tanAtanB) double identities 1. sin(2B)=2sinBcosB 2. cos(2B)=cosB^2-sin^2B, 1-2sin^2B, 2cos^2-1 3. tan(2B)=2tanB/1-tan^2B power reducing identities 1. sin^2B=(1-cos2B)/2 2. cos^2B=(1+cos2B)/2 3. tan^2B= (1-cos2B)/1+cos2B cofunction identities 1. cos(pi/2 -B)=sin 2. sin(pi/2 -B)=cos 3. tan(pi/2 -B)=cot 4. csc(pi/2 -B) =sec 5. sec(pi/2 -B)=csc 6. cot(pi/2 -B)=tan