Question

If sin θ = cos θ, then find the value of 2 tan θ.​

Answer 1

Answer:

The value of 2 tan θ = 2

Step-by-step explanation:

Given:

sin θ = cos θ

To find the value of 2 tan θ:

We know: tan θ = (sin θ)/(cos θ)

2 tan θ = 2 × (sin θ)/(cos θ)

→ 2 tan θ = 2 × (sin θ)/(sin θ) [Given]

→ 2 tan θ = 2 × 1

→ 2 tan θ = 2

Answer 2

☞ Answer:-☞

$☞ \sinθ = \cosθ ( Given)$

$⇒θ = \frac{ \pi}{4}$

Now,

$☞2 \tanθ + { \cos }^{2} θ$

$☞ \: 2 \tan \frac{\pi}{4} + \cos ^{2} \frac{\pi}{4}$

$☞ = 2(1) + ( \frac{1}{ \sqrt{2} } ) ^{2}$

$☞=2 + \frac{1}{2}$

$☞ = \frac{5}{2}$

__________________________

★ TRIGONOMETRIC REDUCTIONS ★

☞Given that :

☞Sin θ = Cos θ

☞Possible for only one set

☞θ = π / 4

☞Now , required value : 2Tanθ + Cos²θ

☞2 Tan45° + Cos²45°

☞2 ( 1 ) + 1/2

☞5/2

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Hope This Helps✌