Question

tanA+1/tanA=2 Show that tan sq. A+1/tan sq. A =2




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Answer 1

Solution:

Given

tanA + 1/tanA = 2

Simplifying

tanA/tanA + 1/tanA = 2

1 + cotA = 2. [°.° 1/tanA = cotA ]

cotA = 2 - 1

cotA = 1

Since , cotA = 1 then tanA = 1

We need to prove

tan²A + 1/tan²A = 2

Taking LHS

Substituting tanA = 1

1² + 1/1²

1 + 1/1

→ 2

Comparing with RHS

2 = 2

LHS = RHS

Hence , proved!