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Convert the following angle from radian ...

Convert the following angle from radian to degree
`(pi)/(4)"rad"`

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To convert the angle from radians to degrees, we can use the following formula: \[ \text{Degrees} = \text{Radians} \times \left(\frac{180}{\pi}\right) \] Given the angle is \(\frac{\pi}{4}\) radians, we will substitute this value into the formula. ### Step-by-step Solution: 1. **Identify the given angle in radians**: \[ \text{Angle in radians} = \frac{\pi}{4} \] 2. **Use the conversion formula**: \[ \text{Degrees} = \frac{\pi}{4} \times \left(\frac{180}{\pi}\right) \] 3. **Multiply the fractions**: \[ \text{Degrees} = \frac{\pi \times 180}{4 \times \pi} \] 4. **Cancel out \(\pi\) in the numerator and denominator**: \[ \text{Degrees} = \frac{180}{4} \] 5. **Perform the division**: \[ \text{Degrees} = 45 \] ### Final Answer: \(\frac{\pi}{4}\) radians is equal to \(45\) degrees. ---
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ALLEN-RACE-Basic Maths (Trigonometry)
  1. Convert the angle from degree to radian : {:" "30^(@)

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  2. Convert the following angle from radian to degree (pi)/(4)"rad"

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  3. Find the value of following :- {:(sin 210^(@)"",):}

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  4. Find the value of the following :- sin((pi)/(6))

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  5. Find the values of the following :- sin390^(@)""

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  6. Find the values of the following :- {:((a)sin(-30^(@)),(b)cos(-45^(@...

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  7. Find the values of all the the T-Rations if :- " sin theta =(5)/(13...

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  8. Calculate the value of following :- {:cos75^(@)""

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  9. The values of sintheta(1), cos^(2)theta(2) and tan theta(3) are given ...

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  10. Refer the given figure and identify correct statement(s)

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  11. Statement 1 : For very small angle theta, we may use approximation sin...

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  12. What is value of expression 2(sin15^(@)+sin75^(@))^(2)?

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  13. Find the value of 5(sin100^(@)cos27^(@)+sin27^(@)cos100^(@)).

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  14. A normal human cye can see an object making an angle of 1.8^(@) at the...

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  15. The maximum and minimum values of expression (4-2costheta) respectivel...

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  16. Angle of elevation is the angle which line of sight makes with the hor...

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  17. If tantheta=(24)/(7) and sintheta is negative then value of costheta w...

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  18. Depending on in which quadrant an angle theta lies, functions costheta...

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  19. An airplane takes off at an angle 30^(@) with the horizontal ground tr...

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  20. Position-time relationship of a particle executing simple harmonic mot...

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