Question: Analytically show that the equations below represent trigonometric identity statements. 5. sin x(cscx + sin xsec x)= soc2 x 6. sec2 0+ csc2 0= sec2

 Analytically show that the equations below represent trigonometric identity statements. 5.sin x(cscx + sin xsec x)= soc2 x 6. sec2 0+ csc20= sec2 0csc2 0 7. I+ sec 0 tan 0 -= 2cscotan 0 1 + sec 0 Page 630 Pre-AP* Calculus11. csex(secx -cos.x) 12. cos 8 + tan 0 1 + sin 0 13.Completely simplify the following trigonometric expression: csco cot 0 1+ sec0 1+cos0 Page 625 Pre-AP* CalculusExpress each of the following trigonometric expressions interms of a single trigonometric ratio. 6. seca cosa + sina seca

7. csco(csco + cot @) 8. csco - sin e cos e9. sin O cos 0 1- cos-0 10. sin B(cos B +sin Stan B) Page 624 Pre AP* CalculusName Date Period Day #72Homework Analytically show that the equations below represent trigonometric identity statements. 1.sec2 01-cos2 0)= tan2 0 2. cos x(secx - cos x) =sin x 3. cos O + sin O tan 0 = sec0 4. (1-cosa )csca + cota)= cos a tana Page 629 Pre-AP*Calculus5. csco + cot 0 = cot O csco 6. col tan

Analytically show that the equations below represent trigonometric identity statements. 5. sin x(cscx + sin xsec x)= soc2 x 6. sec2 0+ csc2 0= sec2 0csc2 0 7. I+ sec 0 tan 0 -= 2csco tan 0 1 + sec 0 Page 630 Pre-AP* Calculus11. csex(secx - cos.x) 12. cos 8 + tan 0 1 + sin 0 13. Completely simplify the following trigonometric expression: csco cot 0 1+ sec0 1+ cos0 Page 625 Pre-AP* CalculusExpress each of the following trigonometric expressions in terms of a single trigonometric ratio. 6. seca cosa + sina seca 7. csco(csco + cot @) 8. csco - sin e cos e 9. sin O cos 0 1- cos-0 10. sin B(cos B + sin Stan B) Page 624 Pre AP* CalculusName Date Period Day #72 Homework Analytically show that the equations below represent trigonometric identity statements. 1. sec2 01-cos2 0)= tan2 0 2. cos x(secx - cos x) = sin x 3. cos O + sin O tan 0 = sec 0 4. (1-cosa )csca + cota)= cos a tana Page 629 Pre-AP* Calculus5. csco + cot 0 = cot O csco 6. col tan 30 = Sin O tan 0 tan 0 + sin 0 cos 8 Page 633 Pre-AP* CalculusName Date Period Day #73 Homework Analytically show that the equations below represent trigonometric identity statements. 1. tan a _ - = tan a cos a 2 sin 20 sec a - = sec 0 - cos 0 cos 0 3. cot 0 + tano = sec 0csco 4. cot Osin 0 = cos3 0 + cos 0sin2 0 Page 632 Pre-AP* CalculusPeriod Name Date_______ Day #71 Homework Express each of the following expressions in simplest form and in terms of only sin x or cos x. Show your work. 5- 6560(10030Xl+ 0050) Page 623 PreAP* Calculus If 0 = 4, numerically show that the following equations are identities by finding the exact values of each expression. Show your work and leave your answers with rationalized denominators. 8. cos O + sin O tan 0 = sec 0 9. sin 2 0 = sec 0 - cos 0 cos 8 Page 631 Pre-AP* Calculus

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