Question

If sin theta = cos theta , then the value of sin 2 theta=_____​

Answer 1

Step-by-step explanation:

If sin theta = cos theta , then the value of sin 2 theta=__2___

Answer 2

If sinθ = cosθ , then the value of sin2θ = 1

Given :

sinθ = cosθ

To find :

The value of sin2θ

Solution :

Step 1 of 2 :

Find the value of θ

$\displaystyle \sf{sin \theta = cos \theta }$

$\displaystyle \sf{ \implies \frac{sin \theta }{cos \theta} = 1}$

$\displaystyle \sf{ \implies tan \theta = 1}$

$\displaystyle \sf{ \implies tan \theta = tan {45}^{ \circ} }$

$\displaystyle \sf{ \implies \theta = {45}^{ \circ} }$

Step 2 of 2 :

Find the value of sin2θ

$\displaystyle \sf{ sin2 \theta }$

$\displaystyle \sf{ = sin (2 \times {45}^{ \circ}) }$

$\displaystyle \sf{ = sin \: {90}^{ \circ} }$

$\displaystyle \sf{ = 1 }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If cosθ+secθ=√2,find the value of cos²θ+sec²θ

https://brainly.in/question/25478419

2. Value of 3 + cot 80 cot 20/cot80+cot20 is equal to

https://brainly.in/question/17024513