hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    Find the value of cos² (270 - ∅) – sin² (180 - ∅) + sin² (π/2) sin² (270 - ∅)
    Question

    Find the value of cos² (270 - ∅) – sin² (180 - ∅) + sin² (π/2) sin² (270 - ∅)

    A.

    cos² ∅

    B.

    sin² (π/2)

    C.

    sin² (∅)-1

    D.

    sin² ∅

    Correct option is A

    Given:

    cos² (270 - ∅) – sin² (180 - ∅) + sin² (π/2) sin² (270 - ∅)

    Formula Used:

    cos² (270 - ∅) =sin² ( ∅)

    sin² (180 - ∅)=sin² ( ∅)

    sin² (π/2) =1

    sin² (270 - ∅) =cos² ( ∅)

    Solution:

    cos² (270 - ∅) – sin² (180 - ∅) + sin² (π/2) sin² (270 - ∅)

    = sin² ( ∅) -sin² ( ∅) +1.cos² ( ∅)

    =cos² ( ∅)

    Free Tests

    Free
    Must Attempt

    CBT-1 Full Mock Test 1

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    CBT-1 General Awareness Section Test 1

    languageIcon English
    • pdpQsnIcon40 Questions
    • pdpsheetsIcon30 Marks
    • timerIcon25 Mins
    languageIcon English
    test-prime-package

    Access ‘RRB NTPC’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    354k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow