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As theta increases from 0^(@) to 90^(@),...

As `theta` increases from `0^(@)` to `90^(@)`, the value of `cos theta` : -

A

Increases

B

Decreases

C

Remains constant

D

First decreases then increases

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If tan^(2)theta - 3sectheta + 3=0, 0^(@) lt theta lt 90^(@) , then the value of sintheta + cos theta is:

    A
    A) `3sqrt(3)`
    B
    B) `(5sqrt(3))/3`
    C
    C) `2sqrt(3)`
    D
    D) `(5sqrt(3))/6`

  • If 4sin^(2)theta-1=0 and angle theta is less than 90^(@) , the value of cos^(2)theta+tan^(2)theta is : (Take 0^(@)ltthetalt90^(@))

    A
    `(17)/(15)`
    B
    `(13)/(12)`
    C
    `(11)/(9)`
    D
    `(12)/(11)`

  • If 5 sin theta - 4 cos theta = 0, 0^(@) lt theta lt 90^(@) , then the value of (5sintheta-2costheta)/(sintheta+3costheta) is :

    A
    `(5)/(8)`
    B
    `(2)/(7)`
    C
    `(3)/(8)`
    D
    `(3)/(7)`

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    If 5 sin theta-4 cos theta=0, 0^@ < theta<90^@ , then the value of (5sin theta-2 cos theta)/(5sin theta+3 cos theta) is:

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    If sintheta - cos theta = 7/13 and 0 lt theta lt 90^(@) ,then the value of sin theta + cos theta is:

    If 2cos theta - sin theta = 1/sqrt(2), (0^(@) lt theta lt 90^(@)) then the value of 2sin theta + cos theta is:

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