Which of the following is correct?
$\cos \left(3^{\circ}\right)=0.20$
$\tan \left(18^{\circ}\right)=0.93$
$\tan \left(18^{\circ}\right)=0.23$
$\sin \left(75^{\circ}\right)=0.97$
\(\boxed{\sin(75^\circ) = 0.97}\)
Step 1 :Calculate the values of the trigonometric functions for the given angles:
Step 2 :\(\cos(3^\circ) = 0.9986\)
Step 3 :\(\tan(18^\circ) = 0.3249\)
Step 4 :\(\sin(75^\circ) = 0.9659\)
Step 5 :Compare the calculated values with the provided values:
Step 6 :\(\cos(3^\circ) \neq 0.20\)
Step 7 :\(\tan(18^\circ) \neq 0.93\)
Step 8 :\(\tan(18^\circ) \neq 0.23\)
Step 9 :\(\sin(75^\circ) \approx 0.97\)
Step 10 :\(\boxed{\sin(75^\circ) = 0.97}\)