Question

Use right triangle DCB to find the trig values for angle D. sinD = cosD = tanD =

Answer 1

sin D=35/37
cos D=12/37
tan D= 35/12
Use SOHCAHTOA

Answer 2

`sin(D)=(35)/(37)`

`cos(D)=(12)/(37)`

`tan(D)=(35)/(12)`

Explanation:

Part a) Find
`sin(D)`

we know that

In a right triangle the value of sine of an angle is equal to the opposite side to the angle divided by the hypotenuse

`sin(D)=(CB)/(DB)`

substitute the values

`sin(D)=(35)/(37)`

Part b) Find
`cos(D)`

we know that

In a right triangle the value of cosine of an angle is equal to the adjacent side to the angle divided by the hypotenuse

`cos(D)=(DC)/(DB)`

substitute the values

`cos(D)=(12)/(37)`

Part c) Find
`tan(D)`

we know that

In a right triangle the value of tangent of an angle is equal to the opposite side to the angle divided by the adjacent side to the angle

`tan(D)=(CB)/(DC)`

substitute the values

`tan(D)=(35)/(12)`