Question

If sinx = 7/√85, find tanx
(a)7/6 (b) 6/7 (c)1
(d)1/2


please kindly help me with it.​

Answer 1

sin x =$\frac{7}{√85}$

sin²x + cos²x = 1

cos²x = 1 - $\frac{49}{85}$

cos²x = $\frac{85-49}{85}$

cos²x = $\frac{36}{85}$

cos x = ± $\frac{6}{√85}$

cos x can be both positive and negative but sin x here is positive, so other conditions also go for positive

tan x = $\frac{sin x}{cos x}$

tan x = $\frac{7/√85}{6/√85}$

tan x = $\frac{7}{6}$