Engineering Board Exam Reviewer · Inverse Trigonometric Functions · hard

Solve for x: 2x+ 3x= π4.

1. -1
2. 1/5
3. 1/3
4. 1/6

Answer

D. 1/6

Solution

Taking tangents: 2x+3x/1-6x2=1 6x2+5x-1=0 (6x-1)(x+1)=0. Check: x=-1 gives (-2)+ (-3)=-135° 45° (extraneous), while x= 16 gives 13+ 12=45°. So x= 16.

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