sin(<em>θ</em>) + cos(<em>θ</em>) = 1
Divide both sides by √2:
1/√2 sin(<em>θ</em>) + 1/√2 cos(<em>θ</em>) = 1/√2
We do this because sin(<em>x</em>) = cos(<em>x</em>) = 1/√2 for <em>x</em> = <em>π</em>/4, and this lets us condense the left side using either of the following angle sum identities:
sin(<em>x</em> + <em>y</em>) = sin(<em>x</em>) cos(<em>y</em>) + cos(<em>x</em>) sin(<em>y</em>)
cos(<em>x</em> - <em>y</em>) = cos(<em>x</em>) cos(<em>y</em>) - sin(<em>x</em>) sin(<em>y</em>)
Depending on which identity you choose, we get either
1/√2 sin(<em>θ</em>) + 1/√2 cos(<em>θ</em>) = sin(<em>θ</em> + <em>π</em>/4)
or
1/√2 sin(<em>θ</em>) + 1/√2 cos(<em>θ</em>) = cos(<em>θ</em> - <em>π</em>/4)
Let's stick with the first equation, so that
sin(<em>θ</em> + <em>π</em>/4) = 1/√2
<em>θ</em> + <em>π</em>/4 = <em>π</em>/4 + 2<em>nπ</em> <u>or</u> <em>θ</em> + <em>π</em>/4 = 3<em>π</em>/4 + 2<em>nπ</em>
(where <em>n</em> is any integer)
<em>θ</em> = 2<em>nπ</em> <u>or</u> <em>θ</em> = <em>π</em>/2 + 2<em>nπ</em>
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We get only one solution from the second solution set in the interval 0 < <em>θ</em> < 2<em>π</em> when <em>n</em> = 0, which gives <em>θ</em> = <em>π</em>/2.
Answer:
Angle B is 44 degrees.
This is a right triangle.
Steps:
The sum of interior angles in a triangle equals 180 degrees. The given triangle is a right triangle.
So A + B + C = 180
We are given A and C.
46 + B + 90 = 180
B + 136 = 180
180 - 136 = 44
Step-by-step explanation:
Verbs are read, complete, checked, work, invite. Pronouns are their, your, and them. Nouns are Classroom, Zeroes, Friday, February, friends, assignment, students, trimester. Adjectives are simple, missing.
Hope this helps! If I missed some or got some wrong, please tell me! Goodbye!
Answer is G. It won’t let me post answer unless it has 20 characters lol
Based on the given details you have given, the total amount of money that you will have will be measured in dollars ($). Since the given value is also in dollars which is $2, therefore, the total amount of money you will have is also in dollars which is 250 x $2 is $500 in total. Hope this answers the question.
