Question

How many solution on the internal [0, 2020pi ] does the ea. 1/2×sin2x+1=sinx+cosx ​

Answer 1

Answer:

pply the proper form (Comparative or Superlative) of the Adjectiv

Step-by-step explanation:

Answer 2

PROVING -:

$\sf \boxed{\sf{L\:H\:S}}$

$\implies\sf(\sin\theta+\cos\theta)^2$

$\begin{gathered}\implies\sf \sin^2\theta+\cos^2\theta+2\:\sin\theta\:\cos\theta\\\end{gathered}$

$\implies\sf {\underline{\boxed{\sf{1+ \sin \:2\theta}}}}$

$\implies{\boxed{\sf{R\:H\:S}}}\:\:\:\:\bf{Proved\:}$

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$\sf Required \:ConcepT :$

$\sf \sin 2\theta=2\sin\theta\:\cos\theta↦sin2θ=2sinθcosθ$

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$\bf ConcepT \:BoosteR$

Proof of the formula sin 2x =2 sinx cosx

$\sf We \:\:know,$

$\sf\sin(A+B)=\sin A\:\cos B\:+\cos A\:\sin$

$\mapsto \sf\sin(x+x)=\sin x\:\cos x\:+\cos x\:\sin x$

$\mapsto \sf \sin 2x = 2\sin x\:\cos x\:\:\:\:\bf{Proved}$

HENCE PROVED

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