 # Sin Tan formula

The law of sin or Tangent which is also called as sin-tangent formula or sin-tangent rule is the ratio of the sine of the angle to the cos of the angle in tangent formula

Tan Theta = Opposite / Adjacent

sin Theta = Perpendicular / Hypotenuse

## Sin – Tan x formula

The Tan Theta is the ratio of the Opposite side to the Adjacent, where (Θ) is one of the acute angles.

 Tan Theta = Opposite / Adjacent sin Theta = Perpendicular / Hypotenuse ## Tan alpha Questions

Out of other 6 trigonometry formulas, let’s have a look at the practice question of tan theta formula.

Question 1: If Sec x = 7/4, find tan x and sin x?

Solution: As Sec x = 1/cos x

7/4 = 1/ cos x

Cos x = 4/7

Tan2x = sec2x – 1

= (7/4)2 – 1

= 49/16 – 1

= 33/16

Tan x = √(33/16)

Sin2x = 1-cos2x
= 1 – (4/7)2
= 1 – 16/49
= 33/49
Sin x = √(33/49)

Question 2: From the following figure find the value of tan A. Solution:
From the given figure,
sin A = Opposite/Hypotenuse
= BC/AC
= 4/5
By Pythagoras theorem,
AC2 = AB2 + BC2
52 = AB2 + 42
AB2 = 25 – 16
AB2 = 9
AB = √9
AB = 3
= BC/AB
= 4/3

Question 3: From the given right triangle ABC, find the values of sin A, tan A, sin C, and tan C. Solution:
From the given figure,
AB = 12 cm, BC = 5 cm, AC = 13 cm
We know that,
sin x = Side opposite to angle x/Hypotenuse
tan x = Side opposite to angle x/Side adjacent to angle x
Therefore,

sin A = BC/AC = 5/13
tan A = BC/AB = 5/12
sin C = AB/AC = 12/13
tan C = AB/BC = 12/5

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#### 1 Comment

1. Samin Haq

Great work! Please put more formulas of math! Thank you BYJU’s!