Multiple Choice Questions on If x2 y2 z2 r2 and x r cos A sin B y r sin A sin B find the value of z ........ for Mathematics - All Exams Preparation

Back to Main Page

Multiple Choice Questions

If x2 y2 z2 r2 and x r cos A sin B y r sin A sin B find the value of z ........

Quantitative Aptitude ( CCS) Trignometry
    Download Solution PDF

    If x2 + y2 + z2 = r2 and x = r cos A sin B, y = r sin A sin B, find the value of z.

    z = r sin B

    Incorrect Answer

    z = r cos B

    Correct Answer

    z = r sinA cosB

    Incorrect Answer

    None of these

    Incorrect Answer
    छोटे Courses बड़े Results
    Master Trignometry
    Prepare through Micro-courses
    Try Now
    Explanation:
    x2 + y2
    = r2 cos2 A sin2 B + r2 sin2 A sin2 B
    = r2 sin2 B (cos2 A + sin2 A)
    = r2 sin2 B.
    Now,
    x2 + y2 + z2  =  r2
    ⇒  z2 = r2 – (x2 + y2)
    ∴ z2 = r2 – r2 sin2 B
    = r2 (1 – sin2 B)
    = r2 cos2 B
    Hence, z = r cos B.

    By: Amit Kumar
    ProfileResources

    Let's Discuss

    Master
    Trignometry
    With abhipedia
    Micro Courses
    Try Now
    What our students have to say
    Review on us
    Download Abhipedia Android App

    Access to prime resources

    Downlod from playstore
    download android app download android app for free