Problem

Which of the following is correct? $\cos \left(3^{\circ}\right)=0.20$ $\tan \left(18^{\circ}\right)=0.93$ $\tan \left(18^{\circ}\right)=0.23$ $\sin \left(75^{\circ}\right)=0.97$

Solution

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 :\(\boxed{\sin(75^\circ) = 0.97}\)

From Solvely APP
Source: https://solvelyapp.com/problems/15582/

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