Hammond Zimmerman
09/04/2024 · High School
Which statement about temperament is true? a. It describes differences in the behavior of young children but lacks practical application when describing the behavior of adults. b. It refers to early-appearing, stable differences in reactivity and self-regulation. c. It is best understood as the result of genetic influences as opposed to environmental influences. d. It refers to the intensity of cognitive behavior but not physical behavior. Clear my chaice
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( \sin(45) \).
Calculate the value by following steps:
- step0: Calculate:
\(\sin\left(45\right)\)
Calculate or simplify the expression \( \cos(\pi/4) \).
Calculate the value by following steps:
- step0: Calculate:
\(\cos\left(\frac{\pi }{4}\right)\)
- step1: Calculate the trigonometric value:
\(\frac{\sqrt{2}}{2}\)
Calculate or simplify the expression \( \sin(45)/\cos(\pi/4) \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\sin\left(45\right)}{\cos\left(\frac{\pi }{4}\right)}\)
- step1: Transform the expression:
\(\frac{2\sin\left(45\right)}{\sqrt{2}}\)
- step2: Multiply by the Conjugate:
\(\frac{2\sin\left(45\right)\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}\)
- step3: Multiply the numbers:
\(\frac{2\sqrt{2}\times \sin\left(45\right)}{\sqrt{2}\times \sqrt{2}}\)
- step4: Multiply the numbers:
\(\frac{2\sqrt{2}\times \sin\left(45\right)}{2}\)
- step5: Reduce the fraction:
\(\sqrt{2}\times \sin\left(45\right)\)
The value of \( \frac{\sin(45^{\circ})}{\cos(\frac{\pi}{4})} \) is \( \sqrt{2} \).
Quick Answer
\( \sqrt{2} \).
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