15-17 help solving 15.-1 points Au CAT85.4057 Use trigonometric identities to wr

Question

15-17 help solving

15.-1 points Au CAT85.4057 Use trigonometric identities to write the expression in terms of a single trigonometric function or a constant. Answers may vary. cot t+ tan t cot t Need Help? Read ItWatch It Talk to Tutor 16' 1 points AuICAT8 5 4 069 MI + Use trigonometric identities to write the expression in terms of a single trigonometric function or a constant. Answers may vary. 9 sin2 t (1 cot t) Watch It Master It Talk to Tutor 17. -1 points AutCAT8 5 4 063. Write csc t in terms of cot t, !

Explanation / Answer

1) ( cot t + tan t ) / cot t

cot t = cos t /sin t

tan t = sin th / cos t

plugging the values we get

( cos t / sin t + sin t / cos t ) / cos t / sin t

= sin t ( cos^2 t + sin ^2 t ) / cos t ( sin t cos t )

cancelling sin t from top and bottom

( cos^2 t + sin ^2 t ) / cos^2 t  

= 1/ cos^2 t

= sec^2 t

9)

9 sin^2 t ( 1 + cot^2 t )

from the identity

1 + cot^2 t = csc^2 t

9 sin^2 t ( csc^2 t )

csc^2 t = 1/ sin^2 t

9 sin^2 t * 1 / sin^2 t

= 9

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.