Daily Archives: June 11, 2018

DOAS Monologues

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The following shows my understanding of a monologue, this is a monologue I wrote for Willy Loman from Death of a Salesman.

This is a monologue because Willy is having a long, uninterrupted conversation with another person in which he is revealing something about himself.

This monologue would fit in the current plot if Willy was to apply for financial aid.

Willy:
“I am in my 60s. I work as a traveling salesmen, and I have a loving wife who is very supportive and has lots of empathy for me. I value people-skills and wish to be well liked. I have very high hopes for my two sons, Happy and Biff. Happy is successful, but Biff cannot find his place in the world and he is not living up to my expectations, which makes me ashamed of him. Lately, my job has been taking a huge toll on my mental health. I am no longer able to financially provide for my family and I must ask my neighbour for financial support. My neighbour has been offering me a job at his business, but my pride forces me to decline his offer every time.”

Week 17- Chapter 6: Trigonometry

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The focus of this week is Trigonometry.

Important terms:

Initial Arm: The arm of an angle that lies on the x-axis.

Standard position: When the initial arm is on the positive x-axis.

Terminal arm: The terminal arm is the other arm, it can be anywhere and it determines  the angle.

Refrence angle: The closest angle between the Terminal arm and the x-axis.

Coterminal: Standard angle that shares the same terminal arm as another angle.

Rotation Angle: The angle from the initial arm to the terminal arm.

Ex: 

Sine Law:

The sine law can be used to find an angle or length of a side. To find the length of a side use the top formula, to find an angle, use the bottom formula (the reciprocal). You can only use the sine law if you have both the angle and side of one of the fractions, such as angle A and side a, or angle B and side b, etc.

Cosine Law:

The cosine law can be used instead of the sine law, if there are no fractions that have a value for both the angle and the length of the side.

You can tell if you need to use sine law or cosine Law just by looking at a triangle. If there is an angle in the triangle with a side value across from it, you can use sine law. But, if the angles don’t have a side measurement across from them, you will have to use cosine law.

In this example, you can use sine law:

In this example, you have to use cosine law:

The CAST rule:

The cast rule is an easy way to remember, which trigometric ratios are positive and which are negative in every quadrant.

Updated SOH CAH TOA:

In this unit SOH CAH TOA is updated to SYR CXR and TYX. When given a (x,y) point on the terminal arm, we can determine the refrence angle using the updated SOH CAH TOA.