Question

If sinƟ +cos Ɵ= √2cosƟ , (Ɵ ≠90), then the value of tanƟ​

Answer 1

Step-by-step explanation:

Hence proved. Here is the answer

Answer 2

$\sf{\underline{\boxed{\large{\blue{\mathsf{Solution}}}}}}$

:$\sf\implies sin\theta + cos\theta = \sqrt 2 cos\theta$

$\sf{\red{\boxed{\bold{sin\theta + cos\theta = 1 }}}}$

:$\sf\implies 1 = \sqrt 2 cos \theta$

:$\sf\implies \dfrac{1}{\sqrt 2} = cos\theta$

$\sf{\red{\boxed{\bold{cos 45 = \dfrac{1}{\sqrt 2} }}}}$

:$\sf\implies cos 45 = cos \theta$

:$\sf\implies \theta = 45$

________________________

:$\sf\implies tan\theta$

:$\sf\implies tan 45$

:$\sf\implies 1$

$\sf{\green{\boxed{\bold{\dag 1 }}}}$

_______________________

$\sf{\blue{\boxed{\bold{Extra \:Information }}}}$

• Trigonometry means the science which deals with the measurements of triangles
• Each trigonometrical ratio is a real number and has no unit
• The values of trigonometrical ratios are always the same for the same angles
• There are six trigonometrical ratios relating to the three sides of a right angled triangle