Home
Class 11
MATHS
Prove that: sin(60^0-theta)-cos(30^0+the...

Prove that: `sin(60^0-theta)-cos(30^0+theta)=0.`

Text Solution

Verified by Experts

We know that`,sin(60^o +theta)−cos(30^o−theta)`
=`cos[90^o−(60^o +theta)]−cos(30^o−theta)`
=`cos(30^o−theta)−cos(30^o−theta)`
...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA|Exercise Solved Examples And Exercises|167 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|193 Videos

Similar Questions

Explore conceptually related problems

Prove that (i) sin(40^(@)-theta)cos(50^(@)+theta)=0 (ii) 1sec(65^(@)+theta)-"cesec"(25^(@)-theta)=0

Prove that :(sin theta cos(90^(0)-theta)cos theta)/(sin(90^(0)-theta))+(cos theta sin(90^(0)-theta)sin theta)/(cos(90^(@)-theta))=1csc^(2)(90^(@)-theta)-tan^(2)theta=cos^(2)(90^(@)-theta)+cos^(2)theta

Knowledge Check

  • Find the value of sin(60+ theta )-cos(30-theta)

    A
    (A) 0
    B
    (B) 1
    C
    (C) `1/2`
    D
    (D) `-1`

    • Similar Questions

    Explore conceptually related problems

    Evaluate sin(30^(@)+theta)-cos(60^(@)-theta) .

    Prove that: 3(sin theta-cos theta)^(4)+6(sin theta+cos theta)^(2)+4(sin^(6)theta+cos^(6)theta)-13=0

    Prove that (cos(90^(0)+theta)sec(-theta)tan(180^(@)-theta))/(sec(360^(@)-theta)sin(180^(@)+theta)cot(90^(@)-theta))=-1

    Prove that ("cos"(90^0+theta)"sec"(-theta)"tan"(180^0-theta))/("sec"(360^0-theta)"sin"(180^0+theta)"cot"(90^0-theta))=-1.

    Prove that f(theta)=(4sin theta)/(2+cos theta)-theta is an increasing function of theta in [0,(pi)/(2)]

    Prove that y=(4sin theta)/((2+cos theta))-theta is an increasing function of theta in [0,(pi)/(2)]

    Prove that y=(4sin theta)/(2+cos theta)-theta is an increasing function of theta in[0,(pi)/(2)]

    Home
    Profile