Multiple Choice Questions on If sin 3 alpha minus beta 1 and cos 2 alpha beta 1 2 then the value of tan alpha is ........ for Mathematics - All Exams Preparation

Back to Main Page

Multiple Choice Questions

If sin 3 alpha minus beta 1 and cos 2 alpha beta 1 2 then the value of tan alpha is ........

Quantitative Aptitude ( CCS) Trignometry
    Download Solution PDF

    If sin(3α−β)=1, and cos(2α+β)=1/2, then the value of tanα is

    1

    Incorrect Answer

    1/2

    Incorrect Answer

    1/3

    Incorrect Answer

    1/√3

    Correct Answer
    छोटे Courses बड़े Results
    Master Trignometry
    Prepare through Micro-courses
    Try Now
    Explanation:

    We will directly evaluate the bracketed angles from given trigonometric term ratio values,
    sin(3α−β)=1.
    So,
    3α−β=900.
    Again,
    cos(2α+β)=1/2
    So, 
    2α+β=600.
    Adding the two,
    5α=1500,
    Or, α=300,
    Or, tanα=tan300=1/√3.

    By: MIRZA SADDAM HUSSAIN
    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