Is sin(pi/4)+cos(pi/4)=sqrt(2) ?

The answer to whether sin(pi/4)+cos(pi/4)=sqrt(2) is True

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prove sin(pi/4)+cos(pi/4)=sqrt(2)

prove

sin (\frac{π}{4}) + cos (\frac{π}{4}) = 2

True

Solution steps

sin (\frac{π}{4}) + cos (\frac{π}{4}) = 2

Manipulating left side

sin (\frac{π}{4}) + cos (\frac{π}{4})

Simplify

cos (\frac{π}{4}) + sin (\frac{π}{4}) : 2

= 2

We showed that the two sides could take the same form

\Rightarrow True

cos (- θ) csc (- θ) tan (- θ) = 1

sec (x) - 2 tan (x) = 0

cos (3 θ) = cos (θ) (cos^{2} (θ) - 3 sin^{2} (θ))

\frac{tan ( θ )}{1 + sec ( θ )} = - cot (θ) + csc (θ)

cos (θ) = sec (θ) - (sin (θ)) (tan (θ))

Is sin(pi/4)+cos(pi/4)=sqrt(2) ?
The answer to whether sin(pi/4)+cos(pi/4)=sqrt(2) is True