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Use the double angle formula for tangent to find tan 22.5º. Step 1.   tan 2A = 2 tan A / (Answer − tan2 A) Step 2.  Let A = 22.5°.  Then, 2A = Answer°, hence, tan 2A = tan Answer° = Answer, and the above equation will have the form               Answer = 2 tan Answer° / (Answer − tan2 Answer°) Step 3.  This equation is Answer in tan 22.5° that can be put in the standard form:              tan2 22.5° + Answertan 22.5° − 1 = 0. Step 4.  Solving this equation gives               tan 22.5° = Answer  (Copy and paste from here: √

Use the double angle formula for tangent to find tan 22.5º. Step 1.   tan 2A = 2 tan A / (Answer − tan2 A) Step 2.  Let A = 22.5°.  Then, 2A = Answer°, hence, tan 2A = tan Answer° = Answer, and the above equation will have the form               Answer = 2 tan Answer° / (Answer − tan2 Answer°) Step 3.  This equation is Answer in tan 22.5° that can be put in the standard form:              tan2 22.5° + Answertan 22.5° − 1 = 0. Step 4.  Solving this equation gives               tan 22.5° = Answer  (Copy and paste from here: √

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter6: Equations
Section6.1: Solving Trigonometric Equations
Problem 93PS: Find the angle of elevation of a rifle barrel, if a bullet fired at 1,500 feet per second takes 2...
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Use the double angle formula for tangent to find tan 22.5º.

Step 1.   tan 2A = 2 tan A / (Answer − tan2 A)

Step 2.  Let A = 22.5°.  Then, 2A = Answer°, hence, tan 2A = tan Answer° = Answer, and the above equation will have the form

              Answer = 2 tan Answer° / (Answer − tan2 Answer°)

Step 3.  This equation is Answer in tan 22.5° that can be put in the standard form:

             tan2 22.5° + Answertan 22.5° − 1 = 0.

Step 4.  Solving this equation gives 

             tan 22.5° = Answer  (Copy and paste from here: √ )

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