Question
Download Solution PDFIf
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cot A = 12/5
Formula used:
Pythagorean theorem:
H2 = P2 + B2
Cot A = B/P ; sin A = P/H ; cos A = B/H ; cosec A = H/P
Where, H = hypotenuse ; P = perpendicular ; B = Base
Calculation:
Cot A = 12/5 = B/P
Using Pythagorean theorem:
H2 = P2 + B2
⇒ H2 = (5)2 + (12)2
⇒ H = √(25 + 144) = √169
⇒ H = 13 cm
Now,
(sin A + cos A) × cosec A
⇒ {(5/13) + (12/13)} × 13/5
⇒ (17/13) × (13/5) = 17/5
∴ The correct answer is 17/5.
Last updated on Jul 19, 2025
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