Question

the value of tanθ = 1 then value of sinθ is _____?​

Answer 1

Answer:

Sine Definition In Terms of Sin 0

Sine Degrees/Radians Values

Sin 900 or Sin π/2 1

Sin 180°c or Sin π 0

Sin 270° or Sin 3π/2 -1

Sin 360° or Sin 2π 0

Sin 180°c or Sin π 0

Sin 270° or Sin 3π/2 -1

Sin 360° or Sin 2π 0

Answer 2

tan(∅) = 1 = tan(π/4)

Equating the angles when their tangents are same,

∅ = nπ + π/4. [General Solution]

∅ = π/4 [Particular Solution]

Now, using the formulated values of ∅ in combination with the sine function, we get :

sin(∅) = sin[nπ + π/4] [General Solution]

For particular solution, put n = 0,

sin(∅) = sin[0(π) + π/4]

= sin(π/4)

= 1/√2 [Particular Solution]

Hence,

• Sin(∅) = 1/√2