Tip:A–D to answerE for explanationV for videoS to reveal answer
If tan15∘+tan75∘1+tan105∘1+tan195∘=2a, then the value of (a+a1) is :
Explanation
Solving:
tan15∘+cot75∘+cot105∘+tan195∘=2a
tan15∘+tan15∘−tan15∘+tan15∘=2a
2tan15∘=2a⟹a=tan15∘=2−3
a+a1=(2−3)+2−31=(2−3)+(2+3)=4
Correct Option: (4)
Explanation
Solving:
tan15∘+cot75∘+cot105∘+tan195∘=2a
tan15∘+tan15∘−tan15∘+tan15∘=2a
2tan15∘=2a⟹a=tan15∘=2−3
a+a1=(2−3)+2−31=(2−3)+(2+3)=4
Correct Option: (4)
