Question

If 20 degree + x is an acute angle and cos (20 degree + x) = sin 60 degree find the value of x

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The value of x in the equation  $cos (20 + x) = sin 60$ is 10°

Step-by-step explanation:

• The angle is acute, therefore it lies in the first quadrant.
• To change the $sin\ a$ into $cos\ b$,the angle is subtracted from 90°.

          $sin\ a=cos(90-a)=cos\ b$

       where a,b are angles in degrees.

Step 1 of 1:

• The acute angle is 20° + $x$
• Given $cos (20 + x) = sin 60$
• Solve the equation as follows

     $cos (20 + x) = sin 60\\cos (20 + x) = cos(90-60)\\cos (20 + x) = cos30$

• Since both sides, the trigonometric function is cos. The angles would be equal.

         $20+x=30\\x=10$