Tan Theta formula

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.

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 =

= ⅗

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 =

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