The value of R is 28° (Degrees), if the equation sin 62° = cos R true when 0° < R < 60°.
Step-by-step explanation:
The given is,
sin 62° = cos R
0° < R < 90°
Step:1
Form the given equation,
sin 62° = cos R.......................(1)
Where,
sin 62° = 0.88295
From the value of sin 62, equation (1) becomes
sin 62° = cos R
0.88295 = cos R
R = [tex]cos^{-1}[/tex] 0.88295
R = 27.9997
≅ 28°
R = 28°
Step:2
Check for solution,
From equation 1,
sin 62° = cos R
Substitute R = 28°,
sin 62° = cos 28°
0.88295 = 0.88295
Result:
The value of R is 28° (Degrees), if the equation sin 62° = cos R true when 0° < R < 60°.
