For starters,
tan(2θ) = sin(2θ) / cos(2θ)
and we can expand the sine and cosine using the double angle formulas,
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = 1 - 2sin^2(θ)
To find sin(2θ), use the Pythagorean identity to compute cos(θ). With θ between 0 and π/2, we know cos(θ) > 0, so
cos^2(θ) + sin^2(θ) = 1
==> cos(θ) = √(1 - sin^2(θ)) = 4/5
We already know sin(θ), so we can plug everything in:
sin(2θ) = 2 * 3/5 * 4/5 = 24/25
cos(2θ) = 1 - 2 * (3/5)^2 = 7/25
==> tan(2θ) = (24/25) / (7/25) = 24/7
The greatest conman factor of 66 and 88 is 22
The answer going to be A: they will be orthogonal if and are orthogonal
Its A trapezium
For Calculations Refer to the attachment
Step-by-step explanation:
The battery of setup 'a' is the strongest, this is indicated by the glowing of the bulb, as we can see the bulb is the brightest at the setup 'a'. Next moving on to the setup 'b', in this setup, the bulb is glowing a bit dimmer than the setup 'a', hence we can find out that setup 'b' battery strength is a little less than 'a'. Now coming to setup 'c', here we see that the bulb is not even glowing which indicates that the battery has no strength or that it has been used up.
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Thank you !
