Tan Theta To Cos Theta
The law of Tangent which is also called as tangent formula or tangent dominion is the ratio of the sine of the angle to the cos of the bending.
Tan Θ = Opposite / Next
Tan x formula
The Tan Θ is the ratio of the Opposite side to the Adjacent, where (Θ) is i of the astute angles.
\(\begin{assortment}{fifty}Tan \Theta = \frac{Opposite Side}{Adjacent Side}\end{assortment} \)
Tan alpha Questions
Out of other 6 trigonometric formulas, let's have a look at the exercise question of tan theta formula.
Instance 1:
If Sin x = 4/5, Find the value of Cos ten and tan x?
Solution: Using Trigonometric identities: Costwox = 1- Sin2x
Cos2x = 1 – (iv/5)two
= 1 – 16/25
= (25 – xvi) / 25
= nine/25
Cos x =
\(\begin{assortment}{50}\sqrt{9/25}\end{array} \)
= ⅗
Tan x = Sin 10 / Cos x
= (4/five) / (3/v)
= four/iii
Question on Tangent formula
Question 1: If Sec ten = 4/7, find the Cos 10 and tan 10?
Solution: As Sec 10 = 1/cos x
4/7 = 1/ cos x
Cos x = 7/4
Tantwo x = seciix – 1
= (4/vii)two – 1
= 16/49 – ane
= -33 / 49
Tan x =
\(\begin{assortment}{50}\sqrt{-33}\terminate{array} \)
/7To practice more Trigonometric questions and empathise the trigonometric concepts amend, Register on BYJU'S.
Tan Theta To Cos Theta,
Source: https://byjus.com/tan-theta-formula/
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