[tex]\bf \textit{Cofunction Identities} \\\\ sin\left(90^o-\theta\right)=cos(\theta) \qquad cos\left(90^o-\theta\right)=sin(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos(x)=\stackrel{90-56}{sin(\stackrel{\downarrow }{34^o})}\implies cos(\stackrel{\downarrow }{x})=sin(90^o-\stackrel{\downarrow }{56^o})\implies cos(56^o)[/tex]
There are 2 way to find value of x
cos x = sin 34°
First
Co-function identities
sin(90° -∅ ) =cos(∅) cos(90 -∅) =sin(∅)
90-56 ↓
cos(x)=sin(34°)⇒ cos (x) =sin(90°-56)⇒ cos(56°)
∴ value of x = 56°⇒ 0.5592
Second way to find value x
x = cos-1(0.5592)
This is much simpler,
cos (90 - x)= sin x
So,
90 - 34 = 56
∴ x = 56
cos(56) = 0.5592
sin(34) = 0.5592.
A branch of mathematics that studies relationships between side lengths and angles of triangles.
Sin 34 degrees is the value of the sine trigonometric function for an angle equal to 34 degrees. The value of sin 34° is 0.5592
The value of cos 34
= 0.829
The value of cos 34° is equal to the x-coordinate (0.829).
∴ cos 34° = 0.829.
To learn more about the value of x, refer
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