AP EAMCET · Maths · Trigonometric Ratios & Identities
The value of is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Let A=tan7π8 ⇒A=tanπ-π8 ⇒A=-tanπ8 Now, tanπ4=tan2×π8=2tanπ81-tan2π8 ⇒2tanπ81-tan2π8=1 ⇒2-A1--A2=1 ⇒A2-2A-1=0 ⇒A=2±4+42 ⇒A=1±2 But A<0, since 7π8 lies in 2nd…
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