Question

If sin thita = 9/41 then find cos thita and cosec thita

Answer 1

Answer:

Cos Theta - 40/41

Cosec Theta- 41/9

Step-by-step explanation:

-If Sin Theta is 9/41 ,

it means that Perpendicular Or Opposite Side of theta is 9 and Hypotenuse is 41 .

-Now ,To Find out Base or Adjacent Side, we will use the Pythogoras Theorem

(9)²+ (Base)² = (41)²

(Base)² = (41)² - (9)²

1681-81=1600

so Base = √1600 or root 1600 that is equal to 40

-Now,We have All sides measures

Perpendicular-9

Base-40

Hypotenuse-41

-So, Cos Theta that is Opposite/Hypotenuse or Base/Hypotenuse will be equal to 40/41

-And Cosec theta which is inverse of Sin Theta that is Hypotenuse/Adjacent or Hypotenuse/Perpendicular will be 41/9.