Multiple Choice Questions on If sin A B 1 where 0 lt B lt 45 deg then what is cos A ndash B equal to ........ for Mathematics - All Exams Preparation

Back to Main Page

Multiple Choice Questions

If sin A B 1 where 0 lt B lt 45 deg then what is cos A ndash B equal to ........

Quantitative Aptitude ( CCS) Trignometry
    Download Solution PDF

    If sin (A + B) = 1, where 0 < B < 45°, then what is cos (A – B) equal to?

    sin 2B

    Correct Answer

    sin B

    Incorrect Answer

    cos 2B

    Incorrect Answer

    cos B

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

    ? sin (A + B) = 1
    ⇒ A + B = sin–1 1
    ⇒ (A + B) = 90°
    ⇒ B = 90° – A
    ⇒ A = 90° – B
    Now, cos (A – B) = cos A cos B + sin A + sin B
    = cos (90 – B) cos B + sin (90 – B) sin B
    = sin B cos B + cos B sin B
    = 2 sin B cos B = sin 2B.

    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