tan29° +tan16° +tan29°.tan16° = 1
Answer:
For all the questions, where you have angles whose values are not known to you. You will do very easy step! You either find the sum or difference of the given angles and try to get the angle whose value is known to you!
Here, in this case, we have 29° and 16°. Now, if we add these angles, our sum would be 45° whose trigonometric value under the function tan equals to 1. And exactly, that is what we need!
So, you use this equation; 29° +16° = 45° and put tan on both sides and then use the respective formulas and use basic mathematics to solve the question and prove the given condition!
Here is a list of formulas for compound angles which might interest you!
Good luck for solving such questions in Trigonometry of Mathematics.
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