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These are trigonometric identities. I believe they can be explained by considering the terminal arm of an angle on a Unit Circle (circle with radius = 1).

sinθ of an angle drawn on the unit circle is the `height`of the terminal arm, also known as the rise.

cosθ of an angle drawn on the unit circle is the `width`of the terminal arm, also known as the run.

When considered in this way, sinθ/cosθ is the same as rise/run, which is the slope. So think of tanθ as being the slope of the angle drawn on the unit circle. This might help you to remember the identity

sinθ/cosθ = tanθ.

For the other identity, consider using the Pythagorean Theorem on an angle drawn on a unit circle.

Sin^2θ+cos^2θ can be visualized by making a right angled triangle, with the terminal arm of the angle drawn on the unit circle as the hypotenuse, and the legs of the triangle being the rise and run of that angle (or, as discussed above, the sinθ and cosθ of the angle.

The Pythagorean Theorem states that on a right angled triangle, a^2 + b^2 = c^2. On a unit circle, the length of any terminal arm is 1, since the terminal arm is really drawn along a radius of the unit circle. So, Sin^2θ+cos^2θ = 1, since the hypotenuse^2 will be 1.

Hope that makes some sense, I did my best to explain it without a diagram!

sin(sine)=opposite side to the theta/hypotenuse of the theta

cos(cosine)=adjecent side of the theta/hypotenuse of the theta

now solve it,,i would solve the entire thing but i donthav the values

happy to help :)

These are just commonly known trigonometric identities. You need to have them memorized.

sin² θ + cos² θ = 1

sin(θ)/cos(θ) = tan(θ)