Question

if casec A = 2, then find the value of catA + sinA
14 tan A​

Answer 1

CORRECT QUESTION:

If Cosec A = 2, then find the value of CotA + SinA×14 Tan A.

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore Cot\:A+Sin\:A\times 14Tan\:A=\frac{10}{\sqrt{3}}}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline \bold{Given : } \\ \implies Cosec \: A = 2 \\ \\ \underline \bold{To \: Find: } \\ \implies Cot \: A + Sin \: A \times 14 \: Tan \: a = ?$

• According to given question :

$\bold{First \: solve \:given \: value : } \\ \implies Cosec \: A= 2 \\ \\ \implies \frac{1}{Sin \: A} = 2 \\ \\ \implies Sin \: A = \frac{1}{2} \\ \\ \bold{\implies A = 30 \degree} \\ \\ \bold{For \: finding \: value : } \\ \implies Cot \: A + Sin \: A \times 14 \: Tan \: A\\ \\ \implies Cot \: 30 \degree + Sin \: 30 \degree \times 14 \: Tan \: 30 \degree \\ \\ \implies \sqrt{3} + \frac{1}{2} \times 14 \times \frac{1}{ \sqrt{3} } \\ \\ \implies \sqrt{3} + \frac{7}{ \sqrt{3} } \\ \\ \implies \frac{ (\sqrt{3} \times \sqrt{3} ) + 7}{ \sqrt{3} } \\ \\ \implies \frac{3 + 7}{ \sqrt{3} } \\ \\ \implies \bold{ \frac{10}{ \sqrt{3} } } \\ \\ \bold{ \therefore Cot \: A + Sin \: A \times 14 \: Tan \: A = \frac{10}{ \sqrt{3} } }$