Question 99

∆DEF is right angled at E. If m∠D = 45°, then find the value of (tanF + 1/3).

Solution

Sum of angles of $$\triangle$$ DEF = $$\angle D+\angle E+\angle F=180^\circ$$

=> $$45^\circ+90^\circ+\angle F=180^\circ$$

=> $$\angle F=180^\circ-135^\circ=45^\circ$$

To find : $$(\tan F + \frac{1}{3})$$

= $$tan(45^\circ)+\frac{1}{3}$$

= $$1+\frac{1}{3}=\frac{4}{3}$$

=> Ans - (A)

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