Question

If sinA = 1/4 , find the value of cosA . CotA . CosecA

Answer 1

sinA=1/4
=>p/h=1/4
taking x as common ratio,
p=x,h=4x
as, p^2+b^2=h^2

Answer 2

hello mate!.......

given......


$sina = \frac{1}{4} \\ \\ we \: know..... \\ \\ sin {}^{2} x + cos {}^{2} x = 1 \\ \\ then.... \\ \\ sin {}^{2} a + cos {}^{2}a = 1 \\ \\ ( \frac{1}{4} ) {}^{2} + cos {}^{2} a = 1 \\ \\ cos {}^{2} a = 1 - \frac{1}{16} \\ \\ cos {}^{2} a = \frac{15}{16} \\ \\ cosa = \frac{ \sqrt{15} }{4} \\ \\ cota = \frac{cosa}{sina} = \frac{ \frac{ \sqrt{15} }{4} }{\frac{1}{4} } = \sqrt{15} \\ \\ coseca = \frac{1}{sina} = \frac{1}{ \frac{1}{4} } = 4 \\ \\ cosa.cota.coseca = \frac{ \sqrt{15} }{4} \times \sqrt{15} \times 4 = 15$



hope it helps u