Grade 12th passTrigonometry

sin×+cos*=1

himanshu

11 Years agoGrade 12th pass

1 Answer

Jitender Singh

11 Years ago

Ans:Hello student, please find answer to your question
Please rewrite the complete question.
Properly write the all the functions.
Complete the equation.
Also, define the interval in which you want the results.

$sin(x) + cos(x) = 1$
$sin(a+b) = sin(a)cos(b) + cos(a)sin(b)$
$sin(x+\frac{\pi }{4}) = sin(x)cos(\frac{\pi }{4}) + cos(x)sin(\frac{\pi }{4})$
$sin(x+\frac{\pi }{4}) = \frac{sin(x) + cos(x)}{\sqrt{2}}$
$sin(x) + cos(x)=\sqrt{2}sin(x+\frac{\pi }{4})$
$\sqrt{2}sin(x+\frac{\pi }{4}) = 1$
$sin(x+\frac{\pi }{4}) = \frac{1}{\sqrt{2}}$
$x+\frac{\pi }{4} = 2n\pi + \frac{\pi }{4}$
$x = 2n\pi$
$x = 0, 2\pi$