If sinƟ = x and secƟ = y , then tanƟ is (A) xy (B) x/y (C) y/x (D) 1/xy - Bzziii

admin November 29, 2021

If sinƟ = x and secƟ = y , then tanƟ is

(a) xy

(b) `"x"/"y"`

(d) `"1"/"xy"`

(A) xy

Explanation:

Given,

sinƟ = x and,

secƟ = y

∴ `"1"/"cosƟ"`= y

cosƟ = `"1"/"y"`

Now, tanƟ = `"sinƟ"/"cosƟ"`

= `\frac{"x"}{\frac{"1"}{"y"}}`

= xy

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