Tan2 theta - sin2 theta= sin2 theta × tan2 theta
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Hi there!

We can begin by solving the left side:

tan²Θ - sin²Θ =

Rewrite tan:

Multiply sin²Θ by cos²Θ to get a common denominator:

Subtract:

Factor out sin²Ф from the numerator:

Rewrite 1 - cos²Ф as sin²Ф (Pythagorean identity)

Simplify:

Split into sin and tan:

Rewrite:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

there are infinitely many solutions.