Problem

Select all the true equations. A. $\cos (15)=\sin (15)$ B. $\cos (75)=\sin (15)$ C. $\cos (75)=\cos (15)$ D. $\cos (15)=\sin (75)$ E. $\tan (15)=\tan (75)$

Solution

Step 1 :Evaluate each equation using trigonometric functions:

Step 2 :A. \(\cos(15) = \sin(15)\) is False

Step 3 :B. \(\cos(75) = \sin(15)\) is True

Step 4 :C. \(\cos(75) = \cos(15)\) is False

Step 5 :D. \(\cos(15) = \sin(75)\) is True

Step 6 :E. \(\tan(15) = \tan(75)\) is False

Step 7 :\boxed{\text{Final Answer: The true equations are B and D.}}

From Solvely APP
Source: https://solvelyapp.com/problems/7397/

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