Question
Download Solution PDFIf sin x = \(\frac{3}{10}\), then what is the value of tan x + cot x = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFsin x = (3/10)
Formula used:-
1 + tan2x = sec2x
secx = 1/cosx
tan x = sin x/cos x
Calculation:-
⇒ tanx + cotx
⇒ tanx + 1/tanx
⇒ (1 + tan2x )/tanx
⇒ sec2x /tanx
⇒ 1/sinx cosx [cosx = (√100 - 9)/10]
⇒ 1/(3/10)(√91/10) = 100/3√91
∴ The required answer is 100/3√ 91.
Last updated on Jul 21, 2025
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