PYQ Vault
EbooksTutor

sin^2 A + sin^2(90 - A) = 1 (or cos): evaluate an expression built from such pairs

This type of question, asked 4 times: 17 Jul 2023 S1, 9 Sep 2024 S1, 18 Sep 2024 S3, 19 Sep 2024 S2. All 5 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    17 Jul 2023 S1

    69
    Find the value of sin⁡225+sin⁡265\sin^2 25 + \sin^2 65.

    Tap an option to check your answer.

  2. Question 2

    9 Sep 2024 S1

    68
    The value of sin⁡230−sin⁡240+sin⁡245−sin⁡255−sin⁡235+sin⁡245−sin⁡250+sin⁡260\sin^2 30 - \sin^2 40 + \sin^2 45 - \sin^2 55 - \sin^2 35 + \sin^2 45 - \sin^2 50 + \sin^2 60 is:

    Tap an option to check your answer.

  3. Question 3

    9 Sep 2024 S1

    52
    The value of cos⁡229∘+cos⁡261∘\cos^2 29^\circ + \cos^2 61^\circ is:

    Tap an option to check your answer.

  4. Question 4

    18 Sep 2024 S3

    72
    What is the value of 9sin⁡226∘+9sin⁡264∘+3632−7cos⁡232∘−7cos⁡258∘\sqrt{\frac{9\sin^2 26^\circ + 9\sin^2 64^\circ + 36}{32 - 7\cos^2 32^\circ - 7\cos^2 58^\circ}}?

    Tap an option to check your answer.

  5. Question 5

    19 Sep 2024 S2

    53
    Simplify [1−sin⁡232∘+11+tan⁡258∘]\left[1 - \sin^2 32^\circ + \frac{1}{1 + \tan^2 58^\circ}\right].

    Tap an option to check your answer.