Question

if x^c = 60° and y°=7pay/10^c then find x and y are​

Answer 1

Answer:

x = 30°, y = 126°

Step-by-step explanation:

Given: The complement of the angle x = 60°

y = (7\π /10)°

To find: The respective values of x and y

Solution: To find the complement of an angle, we need to subtract the angle's measurement from 90 degrees. The result will be the complement.

Since we already have the complement of the angle x, we need to find x.

Therefore, x = (90 - 60) degrees = 30 degrees.

Now coming to the angle y, y is equal to (7\π /10) degrees.

We know \π is equal to 180 degrees.

Hence substituting the value of \π in y,

y = (7 × 180)/10

⇒ y = 7 × 18

⇒ y = 126 degrees

Answer: x = 30°, y = 126°

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Answer 2

$x=\dfrac{\pi}{3}$ and $y=126$

Tips:

We know that, $\pi^{c}=180^{\circ}$

$\Rightarrow \boxed{1^{c}=\dfrac{180}{\pi}^{\circ}}$

Then, $\boxed{1^{\circ}=\dfrac{\pi}{180}^{c}}$

• So, to change radians into degrees, we have to multiply the number by $\dfrac{180}{\pi}$

• And to change degrees into radians, we have to multiply the number by $\dfrac{\pi}{180}$

Step-by-step explanation:

Here, $x^{c}=60^{\circ}$

$\Rightarrow x^{c}=60\times \dfrac{\pi}{180}^{c}$

$\Rightarrow x^{c}=\dfrac{\pi}{3}^{c}$

$\Rightarrow \bold{x=\dfrac{\pi}{3}}$

Again, $y^{\circ}=\dfrac{7\pi}{10}^{c}$

$\Rightarrow y^{\circ}=\dfrac{7\pi}{10}\times \dfrac{180}{\pi}^{\circ}$

$\Rightarrow y^{\circ}=126^{\circ}$

$\Rightarrow \bold{y=126}$