# Tagged Questions

Trigonometric functions (both geometric and circular), relationships between lengths and angles in triangles, and other topics relating to measuring triangles.

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### What is the period of $f(x)=\sin x\cos x$?

Problem We need to find the period of the following: $f(x)=(\sin(x))(\cos(x))$ using basic trigonometric identities which is as follows: My steps disclaimer! I know the steps but I will pin point ...
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### The implicit differentiation of trignometry equations

Use the process of implicit differentiation to find $\dfrac{dx}{dy}$ given that $\sin(x)+ \sin(3y) = 1$ Can anyone give me hints or steps on what to do?
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### Trignometry question for calculus [closed]

I just have a quick question. It's simple but I am having trouble with it. Solve the equation $\:\:12 \cos^2\theta - 6= \sin\theta\:\:$ for $\theta$ in $(-2\pi,2\pi)$. I am unsure what to do ...
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### Find perpendicular height of triangle

Consider a triangle ABC. It is given that angle ABC is 38 degrees, angle ACB is 62 degrees, the length of BC is 38 cm. Find the perpendicular height of the triangle (from A to the base BC). I can ...
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### Trigonometric Ratios for angles greater than 90 degrees and the Unit Circle

I am confused about the Unit Circle explanation for the trigonometric ratios for angles greater than 90 degrees. It seems that for the first (top right) quadrant, $\sin(\theta)$ is equivalent to the ...
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### How to find a diagonal given perimeter of the rhombus and one of its angle

Supposed that the perimeter of a rhombus has been given as 4 and one of the angle is 120 degrees. It asks to find the length of one of the diagonal.
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### Finding the rectangle surrounding a capsule defined by two points while minimizing trig, and square root

For the visuals of a simulation I need to solve the following problem. I know points one and two (shown in yellow) and the length of the green line. I need to find the four purple points surrounding ...