what is the value for tan π/2 if A + B = 90° then also what is A = ? only correct answer for brainliest
Answers
Explanation:
Tangent function denotes that for a given right-angled triangle, the tan of angle θ is equal to the ratio of the opposite side to the angle, and adjacent side or base.
Tan θ = Opposite Side/Adjacent Side
We can also represent the tangent function as the ratio of the sine function and cosine function.
∴ Tan θ = Sin θ /Cos θ
We know that Π= 180º
Π/2= 180º/2=90º
tan 90 degrees in terms of ratio is,
Tan 90° = Sin 900 / Cos90°
From the trigonometric table, we know,
Sin 90° = 1
And,
Cos 90° = 0
∴ Tan 90°= 1/0 = Undefined
That means, we cannot define Tan 900 value.
Answer
tan Π/2= undefined
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A + B = 90° => A = 90 - B
So Tan A = Cot (90 - A) = Cot B
So Tan B = Cot (90 - B) = Cot A
SecB = Cosec (90 -B) = Cosec A
CosA = Sin (90 -A) = Sin B