Prove that sin^2 pi/6 + cos^2 pi/3 - tan^2 pi/4 = -1/2

See below.

Step-by-step explanation:

sin pi/6 = 1/2

cos pi/3 = 1/2

tan pi/4 = 1

So sin^2 pi/6 + cos^2 pi/3 - tan^2 pi/4

= 1/4 + 1/4 - 1

= -1/2.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

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