3. Using basic identities, verify the identity. Show each step as a vertical "list" of steps....
establish the identity Establish the identity. cos 0 sin = sin 0 - cos 0 - 1- tan 0 - 1- coto Write the left side in terms of sine and cosine. cos 0 sin o -1- Write each term from the previous step as one fraction. cos?o sin 0 - cos 0 (List the terms in the same order as they appear in the original list.) Add the fractions from the previous step. (Do not simplify.) cos 0 -...
DOUBLE ANGLE IDENTITIES: In excercises 24-42, Verify each identity. #’s 25, 29, 33, 37, 41 please and thank you! In Exerci 23. cs 25>(sinx-cosx)(cosx + sinx) =-cos(2x) ises 23-42, verify each identity. o(24)= cscA secA 1 + cos(2x ) 27. cos2x= cost-sin4x = cos(2x) 31. 8sin2xcos2x= 1-cos(4x 33)- sec2x =-2 sin?rcsc"(2x) 35. sin(3x) = sinx(4cos2x-1) 39, sin(4x) = sin(2x)(2-4sin%) G) sin(4x) = 2sinx cosx-4sin3x cos tan(4x) = 4(sinx)(cosx)[cos(2x)] 1 2sin (2x)
5. Verify the identities. Be sure to use correct vocabulary to justify your steps (cite the specific identities). (5 points each) b) 8 sin cos? 0 = 1- cos 40
Verify the identity secx-secx sinx COS X To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step secx-secx sin secx ( (Do not simplify = secx (Do not simplity = COS X Verify the identity sec x-secx sin ?x= cos x To verify the identity, start with the more complicated side and transform it to look like the other side....
5. -/2 points LarAT10 7.2.030. your result graphically. (Simplify at each step.). Verify the identity algebraically. Use a graphing utility 7 sec(O) - 7 = 7 sec(0) 1 - cos(O) 7 sec(O) - 7 / 7 (sec() - 1) 1 - cos(O) 1 - sec) 7 sec(O)(sec(0) - 1) = 7 sec(0) Need Help? Read It
3. Prove the Cofunction Identity for sin (-0) = cos using Sum/Difference identities
Verify that the equation is an identity. 1 1 Show that = 2 cota. seca - -1 seca+1 Statement Rule ]cosa 1 1 sin tan coto seca 1 seca + 1 sec CSCD D Select Rule Х s Validate
Verify that the equation is an identity. sin x cOS X secx + = sec?x-tan? CSC X Both sides of this identity look similarly complex. To verify the identity, start with the left side and simplify it. Then work with the right side and try to simplify it to the same result. Choose the correct transformations and transform the expression at each step COS X sin x secx CSC X The left-hand side is simplified enough now, so start working...
Verify that the equation is an identity. sec x-cos x =sin x tan x To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. sec x-Cos x= -COS X = Use a common denominator to perform the subtraction = Separate the expression into two factors = sin x tan x
0/6 POINTS LARPCALC10 5.2.010. Verify the identity. (Simplify at each step.) tan x cot x = sec X COS X tan x cotx COS X = sec X COS X Submit Answer