![Page 1: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/1.jpg)
Academy Algebra IIPre-Calculus (5.1, 5.2)
14.3: Trigonometric IdentitiesHW: today: none,
HW tomorrow: p.928 (16-34 even)
![Page 2: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/2.jpg)
Trig Identities• Reciprocal Identities
• Quotient Identities
uu
uu
uu
uu
uu
uu
tan
1cot
cos
1sec
sin
1csc
cot
1tan
sec
1cos
csc
1sin
u
uu
u
uu
sin
coscot
cos
sintan
![Page 3: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/3.jpg)
Trig Identities• Pythagorean Identities
• Even/Odd Identities
uu
uu
uu
22
22
22
csccot1
sectan1
1cossin
uuuu
uuuu
uuuu
cot)cot( tan)tan(
sec)sec( cos)cos(
csc)csc( sin)sin(
![Page 4: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/4.jpg)
Trig Identities• Cofunction Identities
uuuu
uuuu
uuuu
sec2
csc csc2
sec
tan2
cot cot2
tan
sin2
cos cos2
sin
![Page 5: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/5.jpg)
Simplify the Trig Expressionxxx sincossin 2
![Page 6: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/6.jpg)
Simplify the Trig Expression))(secsin1( 2 xx Check using your calculator:
Y1= Question
Y2= Answer
Check: graphs/tables are the same
![Page 7: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/7.jpg)
Verify.
xxx
xtansin
cos2
cos2
![Page 8: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/8.jpg)
Verify the Identity Algebraically. 22 sincosseccos
![Page 9: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/9.jpg)
Verify the Identity Algebraically.
seccoscot
csc1
![Page 10: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/10.jpg)
Factor the expression and simplify.xxx 222 sectansec
![Page 11: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/11.jpg)
5.2: Verifying Trig Identities1.) Work with one side of the equation.2.) Algebra: Look for opportunities to factor an expression, add fractions, square a binomial, or create a monomial denominator.3.) Trig: Look for opportunities to use the fundamental identities.4.) If the preceding guidelines do not help, try converting to all sines and cosines.5.) Try something! Even making an attempt that leads to a dead end gives insight.
![Page 12: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/12.jpg)
Verify.1csc
1csc
1csc2
xx
x
![Page 13: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/13.jpg)
Multiply and simplify. xxxx csccotcsccot
![Page 14: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/14.jpg)
Verify.x
xx2cot2
1sec
1
1sec
1
![Page 15: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/15.jpg)
Verify the Identity.
22
2
sinsec
1sec
![Page 16: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/16.jpg)
Verify the Identity.
2sec2
sin1
1
sin1
1
![Page 17: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/17.jpg)
Verify the Identity. xxx 222 tan1cos1tan
![Page 18: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/18.jpg)
Verify the Identity.xxxx cscseccottan
![Page 19: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/19.jpg)
Verify the Identity.
x
xxx
sin1
costansec
![Page 20: Academy Algebra II Pre-Calculus (5.1, 5.2) 14.3: Trigonometric Identities HW: today: none, HW tomorrow: p.928 (16-34 even)](https://reader036.vdocuments.mx/reader036/viewer/2022072014/56649e875503460f94b8b3d0/html5/thumbnails/20.jpg)
Verify the Identity.
sin
sin1
csc1
cot 2