Question

If the sin(35º) = 0.57 and cos(35º) = 0.82, find the sin(55º).

A) 0.18
B) 0.43
C) 0.57
D) 0.82

Answer 1

Answer:

Option D) 0.82

Step-by-step explanation:

we know that

$sin(A-B)= sin(A)cos(B)-cos(A)sin(B)$

so

we have that

$90\°-35\°=55\°$

substitute

$sin(90\°-35\°)= sin(90\°)cos(35\°)-cos(90\°)sin(35\°)$

we have

$sin(90\°)=1\\cos(90\°)=0\\sin(35\°)=0.57\\cos(35\°)=0.82$

substitute

$sin(90\°-35\°)= (1)(0.82)-(0)(0.57)$

$sin(90\°-35\°)= 0.82$

$sin(55\°)= 0.82$