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Sum of sin^2 over complementary angle pairs

This type of question, asked 2 times: CDS 2 2019, CDS 1 2020. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2019

    58
    What is the value of sin⁡225∘+sin⁡265∘\sin^2 25^\circ + \sin^2 65^\circ ?

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  2. Question 2

    CDS 1 2020

    58
    What is the value of sin⁡26∘+sin⁡212∘+sin⁡218∘+…+sin⁡284∘+sin⁡290∘\sin^2 6^\circ + \sin^2 12^\circ + \sin^2 18^\circ + \ldots + \sin^2 84^\circ + \sin^2 90^\circ?

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