Home
Class 9
MATHS
If sin30^(@)=x " and " cos60^(@)=y, " th...

If `sin30^(@)=x " and " cos60^(@)=y, " then " x^(2)+y^(2)` is

A

`(1)/(2)`

B

0

C

`sin90^(@)`

D

`cos90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise THINKING CORNER|4 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|5 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise EXERCISE - 6.4|6 Videos

  • STATISTICS

    FULL MARKS|Exercise Assignment (Answer the following question)|10 Videos

Similar Questions

Explore conceptually related problems

If sin A + sin 2A = x and cos A + cos 2A = y, then (x^(2)+y^(2)) (x^(2)+y^(2)-1)=

Evaluate the following (sec^(2) 60^(@) -tan ^(2) 60^(@) )/( sin ^(2) 30^(@) +cos ^(2) 30^(@) )

Knowledge Check

  • If sin 30 ^(@) = x and cos 60 ^(@)= y, then x ^(2) + y ^(2) is

    A
    `1/2`
    B
    0
    C
    `sin 90^(@)`
    D
    `cos 90^(@)`

  • If x = a sin theta and y= b cos theta " then " ( d^(2) y)/( dx^(2)) is

    A
    ` (a)/( b^(2)) sec^(2) theta`
    B
    ` - ( b)/( a) sec ^(2) theta`
    C
    ` - ( b)/(a^(2) sec ^(3) theta `
    D
    ` - ( b^(2) ) / (a ^(2)) sec ^(3) theta `

  • If x= a sin theta and y =b cos theta, then (d^2 y)/(dx^2) is…............ .

    A
    `(a)/(b^2) sec^(2) theta`
    B
    `- (b)/(a) sec^(2) theta`
    C
    `- (b)/(a^2) sec^(3) theta`
    D
    `- (b^2)/(a^2) sec^(3) theta`

    • Similar Questions

    Explore conceptually related problems

    The area enclosed between the curve y=sin^(2)x and y=cos^(2)x in the interval 0le x le pi is _____ sq. units.

    Is it right to say that cos ( 60^(@) + 30 ^(@) ) = cos 60^(@) cos 30 ^(@) -sin 60^(@) sin 30 ^(@)

    If x sin ^3 alpha + y cos^3 alpha = sin alpha cos alpha and x sin alpha - y cos alpha =0 , then x^2 +y^2 is

    cos 60^(@) sin 30^(@) +cos 30^(@) sin 60^(@)=

    If "sin"^(1)+x "sin"^(-1) y=(2pi)/(3) then cos^(-1)x+cos^(-1)y is equal to

    Home
    Profile