Question
Download Solution PDFIf cosec A - cot A =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
cosec A - cot A =
Concept used:
1. cosec2 A - cot2 A = 1
2. cot A = 1 ÷ tan A
Calculation:
cosec A - cot A =
According to the concept,
cosec2 A - cot2 A = 1
⇒ (cosec A + cot A)(cosec A - cot A) = 1
⇒ (cosec A + cot A) ×
⇒ (cosec A + cot A) = 4 ....(2)
Now, (2) - (1),
2cot A = 4 - 1/4
⇒ cot A = 15/8
⇒ tan A = 8/15
∴ The required value of tan A is
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