Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Question
Asomme that () is a positive acute angle
Giveni 
cos theta=(4)/(5)
Find: 
sin 90

Question\newlineAsomme that () is a positive acute angle\newlineGiveni cosθ=45 \cos \theta=\frac{4}{5} \newlineFind: sin90 \sin 90

Full solution

Q. Question\newlineAsomme that () is a positive acute angle\newlineGiveni cosθ=45 \cos \theta=\frac{4}{5} \newlineFind: sin90 \sin 90
  1. Question Prompt: Question prompt: What is the value of sin(90 degrees)\sin(90 \text{ degrees}) given that cos(θ)=45\cos(\theta) = \frac{4}{5} for a positive acute angle θ\theta?
  2. Recognize sin(90)\sin(90^\circ): Since the question asks for sin(90)\sin(90^\circ), we need to recognize that sin(90)\sin(90^\circ) is a standard trigonometric value.
  3. Calculate sin(90)\sin(90^\circ): The sine of 9090^\circ is always equal to 11, regardless of the value of θ\theta.\newlinesin(90)=1\sin(90^\circ) = 1
  4. Given Information Not Needed: Therefore, we do not need the given information about cos(θ)\cos(\theta) to find sin(90)\sin(90^\circ).

More problems from Find limits involving trigonometric functions