10th Class
Mathematics
Introduction to Trigonometry
Question Bank
Introduction to Trigonometery
question_answer
If\[\tan \theta +\sec \theta =2\], \[0\le \theta \le \frac{\pi }{2}\]find the value of the\[\tan \theta \].
A) \[\frac{3}{4}\]
B) \[\frac{5}{4}\]
C) \[\frac{3}{2}\]
D) \[\frac{5}{2}\]
Correct Answer:
A
Solution :
Solving the question from the options, we get \[\Rightarrow \] \[p(-1)={{(-1)}^{2}}+3(-1)-2=(-4)\] \[p(-1)=-4\] (Pythagoras theorem) \['x'\]\[1441\times x=5040\times 12\] Which satisfies the given equation.