Question

यदि 4 tan 0 = 4 तो 0 का मान है
(A
)
0°
(B) 30°
(C)
45°
(D) 60°​

Answer 1

Q: If 4 tan θ = 4 then the value of θ is

Answer:

• The value of is 45°.

Step-by-step explanation:

GIVEN

• 4 tan θ = 4

TO FIND

• The value of θ.

WE KNOW

• tan 0° = 0
• tan 30° 1/√3
• tan 45° = 1
• tan 60° = √3
• tan 90° = ∞

Consider L.H.S:

= 4 tan θ

When, θ = 0

= 4 tan 0°

= 4 × 0

= 0 ≠ R.H.S

When, θ = 30°

= 4 tan 30°

= 4 × 1/√3

= 4/√3 ≠ R.H.S

When, θ = 45°

= 4 tan 45°

= 4 × 1

= 4 = R.H.S

When we take the value of θ as 45° then we saw that L.H.S = R.H.S

HENCE

The value of θ = 45°