Problem 1SP: Simplify. Write the final form with no fractions. tanxcos2xsecx Problem 2SP: Simplify. Write the final form with no fractions. cossin+sin1+cos Problem 3SP: Simplify. Write the final form with no fractions. 1sec2ttanttantsect Problem 4SP: Verify that the equation is an identity. sinxcotxcosx=1 Problem 5SP Problem 6SP Problem 7SP: Verify that the equation is an identity. lncotx+lnsinx=lncosx Problem 8SP Problem 9SP Problem 1PE: The value tan is the quotient of and , and cot is the quotient of . Problem 2PE Problem 3PE: Given the Pythagorean identitysin2x+cos2x=1 , write two alternative forms that involve the... Problem 4PE: Given the Pythagorean identity tan2x+1=sec2x , write two alternative forms that involve the... Problem 5PE Problem 6PE: An equation that is true for all values of the variable except where the individual expressions are... Problem 7PE: For Exercises 7-10, find the least common denominator. Then rewrite each expression with the new... Problem 8PE Problem 9PE: For Exercises 7-10, find the least common denominator. Then rewrite each expression with the new... Problem 10PE Problem 11PE: For Exercises 11-12, multiply. a. a+b2 b. cosx+cotx2 Problem 12PE Problem 13PE Problem 14PE Problem 15PE Problem 16PE Problem 17PE Problem 18PE: For Exercises 13-20, factor each expression. a. a22ab+b2 b. sin2x2sinxtanx+tan2x Problem 19PE Problem 20PE Problem 21PE Problem 22PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 23PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 24PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 25PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 26PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 27PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 28PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 29PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 30PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 31PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 32PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 33PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 34PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 35PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 36PE: For Exercises 21-36, simplify the expression. Write the final form with no fractions. (See Example... Problem 37PE: For Exercises 37-40, verify that the equation is an identity. (See Example 4) sinx+cscx=cotxcosx Problem 38PE: For Exercises 37-40, verify that the equation is an identity. (See Example 4) sinx+cotxcosx=cscx Problem 39PE: For Exercises 37-40, verify that the equation is an identity. (See Example 4) cotxcotx+tanx=csc2x Problem 40PE: For Exercises 37-40, verify that the equation is an identity. (See Example 4) csc2xtanxcotx=sec2x Problem 41PE: For Exercises 41-46, verify that the equation is an identity. (See Example 5)... Problem 42PE: For Exercises 41-46, verify that the equation is an identity. (See Example 5)... Problem 43PE: For Exercises 41-46, verify that the equation is an identity. (See Example 5) 11+sint=11sint=2sec2t Problem 44PE: For Exercises 41-46, verify that the equation is an identity. (See Example 5) 1sect11sect+1=2cot2t Problem 45PE: For Exercises 41-46, verify that the equation is an identity. (See Example 5)... Problem 46PE: For Exercises 47-52, verify that the equation is an identity. (See Example 5)... Problem 47PE: For Exercises 47-52, verify that the equation is an identity. (See Example 6) sincsccot=1+cos Problem 48PE: For Exercises 47-52, verify that the equation is an identity. (See Example 6) costan+sec=1sin Problem 49PE: For Exercises 47-52, verify that the equation is an identity. (See Example 6)... Problem 50PE: For Exercises 47-52, verify that the equation is an identity. (See Example 6)... Problem 51PE: For Exercises 47-52, verify that the equation is an identity. (See Example 6)... Problem 52PE: For Exercises 47-52, verify that the equation is an identity. (See Example 6)... Problem 53PE: For Exercises 53-56, verify that the equation is an identity. (See Example 7) lncostlncott=lnsint Problem 54PE: For Exercises 53-56, verify that the equation is an identity. (See Example 7) lncottlntant=2lncott Problem 55PE: For Exercises 53-56, verify that the equation is an identity. (See Example 7) lnsec+tan=lnsectan Problem 56PE: For Exercises 53-56, verify that the equation is an identity. (See Example 6) lncsc+cot=lncsccot Problem 57PE: For Exercises 57-60, simplify each side of the equation independently to reach a common equivalent... Problem 58PE: For Exercises 57-60, simplify each side of the equation independently to reach a common equivalent... Problem 59PE: For Exercises 57-60, simplify each side of the equation independently to reach a common equivalent... Problem 60PE: For Exercises 57-60, simplify each side of the equation independently to reach a common equivalent... Problem 61PE: For Exercises 61-68, write the given algebraic expression as a function of , where 02, by making... Problem 62PE: For Exercises 61-68, write the given algebraic expression as a function of , where 02, by making... Problem 63PE: For Exercises 61-68, write the given algebraic expression as a function of , where 02, by making... Problem 64PE: For Exercises 61-68, write the given algebraic expression as a function of , where 02, by making... Problem 65PE: For Exercises 61-68, write the given algebraic expression as a function of , where 02, by making... Problem 66PE: For Exercises 61-68, write the given algebraic expression as a function of , where 02, by making... Problem 67PE: For Exercises 61-68, write the given algebraic expression as a function of , where 02, by making... Problem 68PE Problem 69PE Problem 70PE Problem 71PE Problem 72PE Problem 73PE Problem 74PE: For Exercises 73-104, verify that the equation is an identity. 1sin21+tan2=1 Problem 75PE: For Exercises 73-104, verify that the equation is an identity. secxtanxsinx=sec2x Problem 76PE: For Exercises 73-104, verify that the equation is an identity. secxcotxsinx=csc2x Problem 77PE: For Exercises 73-104, verify that the equation is an identity. secxsinxcscxcosx=tan2x Problem 78PE: For Exercises 73-104, verify that the equation is an identity. sinxcotxcosxtanx=cotx Problem 79PE Problem 80PE: For Exercises 73-104, verify that the equation is an identity. 2tan4x+7tan2x+5sec2x=2tan2x+5 Problem 81PE Problem 82PE: For Exercises 73-104, verify that the equation is an identity. cscxcosxcscxsinx=secx Problem 83PE Problem 84PE: For Exercises 73-104, verify that the equation is an identity. csct+cott2=1+cost1cost Problem 85PE Problem 86PE Problem 87PE Problem 88PE: For Exercises 73-104, verify that the equation is an identity. tanxsecx1=secx+1tanx Problem 89PE Problem 90PE Problem 91PE Problem 92PE Problem 93PE Problem 94PE Problem 95PE Problem 96PE Problem 97PE: For Exercises 73-104, verify that the equation is an identity. cosxtanxsecxcotx=cotxcosx Problem 98PE Problem 99PE Problem 100PE Problem 101PE Problem 102PE: For Exercises 73-104, verify that the equation is an identity. log100sinx=2sinx Problem 103PE Problem 104PE Problem 105PE Problem 106PE Problem 107PE Problem 108PE Problem 109PE Problem 110PE Problem 111PE Problem 112PE Problem 113PE Problem 114PE Problem 115PE Problem 116PE Problem 117PE Problem 118PE format_list_bulleted