The law of Tangent which is also called as tangent formula or tangent rule is the ratio of the sine of the angle to the cos of the angle.
Tan Θ = Opposite / Adjacent
Tan x formula
The Tan Θ is the ratio of the Opposite side to the Adjacent, where (Θ) is one of the acute angles.
\(\begin{array}{l}Tan \Theta = \frac{Opposite Side}{Adjacent Side}\end{array} \) |
Tan alpha Questions
Out of other 6 trigonometric formulas, let’s have a look at the practice question of tan theta formula.
Example 1:
If Sin x = 4/5, Find the value of Cos x and tan x?
Solution: Using Trigonometric identities: Cos2x = 1- Sin2x
Cos2x = 1 – (4/5)2
= 1 – 16/25
= (25 – 16) / 25
= 9/25
Cos x =
= â…—
Tan x = Sin x / Cos x
= (4/5) / (3/5)
= 4/3
Question on Tangent formula
Question 1: If Sec x = 4/7, find the Cos x and tan x?
Solution: As Sec x = 1/cos x
4/7 = 1/ cos x
Cos x = 7/4
Tan2 x = sec2x – 1
= (4/7)2 – 1
= 16/49 – 1
= -33 / 49
Tan x =
To practice more Trigonometric questions and understand the trigonometric concepts better, Register on BYJU’S.
Comments