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Evaluate the equation ;- cos 90^(@) s...

Evaluate the equation ;-
cos `90^(@) sin 0^(@) - sin 0^(@) cos 90^(@)`.

Text Solution

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The correct Answer is:
To evaluate the expression \( \cos 90^\circ \sin 0^\circ - \sin 0^\circ \cos 90^\circ \), we will follow these steps: ### Step 1: Identify the values of trigonometric functions We need to know the values of \( \sin 0^\circ \) and \( \cos 90^\circ \). - \( \sin 0^\circ = 0 \) - \( \cos 90^\circ = 0 \) ### Step 2: Substitute the values into the expression Now we can substitute these values into the expression: \[ \cos 90^\circ \sin 0^\circ - \sin 0^\circ \cos 90^\circ = 0 \cdot 0 - 0 \cdot 0 \] ### Step 3: Simplify the expression Now we simplify the expression: \[ 0 \cdot 0 - 0 \cdot 0 = 0 - 0 = 0 \] ### Step 4: Write the final answer Thus, the value of the expression \( \cos 90^\circ \sin 0^\circ - \sin 0^\circ \cos 90^\circ \) is: \[ \boxed{0} \]
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Evaluate 3 cos^(2) 30^(@) +sec^(2) 30^(@) +2 cos 0^(@) + 3sin 90^(@) -tan^(2) 60^(@)

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Knowledge Check

  • The value of (cos 0^(@) + sin 45^(@) + sin 30^(@)) (sin 90^(@) - cos 45^(@) + cos 60^(@)) is

    A
    0
    B
    1
    C
    `(7)/(4)`
    D
    `(1)/(2)`
  • Choose the correct answer in each of the following questions: (cos0^(@)+sin30^(@) +sin45^(@))(sin 90^(@) + cos60^(@)-cos45^(@))=?

    A
    `(5)/(6)`
    B
    `(5)/(8)`
    C
    `(3)/(5)`
    D
    `(7)/(4)`
  • Evaluate : sin theta cos theta - (sin theta cos (90^(@) - theta) cos theta)/( sec (90^(@) - theta)) - (cos theta sin (90^(@) - theta) sin theta)/( cosec (90^(@) - theta))

    A
    `-1`
    B
    2
    C
    0
    D
    1
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