If tan(θ)=40/9, 0≤ θ ≤ pi/2, then sin(θ)sin(θ) equals ------- cos(θ)cos(θ) equals   ------ csc(θ)csc(θ) equals -------

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter66: Introduction To Trigonometric Functions
Section: Chapter Questions
Problem 24A: The sides of each of the following right triangles are labeled with different letters. State the...
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1. If tan(θ)=40/9, 0≤ θ ≤ pi/2, then

sin(θ)sin(θ) equals -------

cos(θ)cos(θ) equals   ------

csc(θ)csc(θ) equals -------

 

2. Find an angle θ with π/2<θ<2π that has the same:

Sine as π/4: θ =    radians

Cosine as π/4: θ =    radians

 

3. Find an angle θ with 90∘<θ<360∘ that has the same:

Sine as 10∘: θ =  degrees

Cosine as 10∘: θ =  degrees

 

4. If sin(θ)=2√14./9 sin and θ is in the 2nd quadrant, find the exact value of cos(θ)

5. If cos(θ)=−45cos and θ is in the 3rd quadrant, find the exact value of sin(θ)

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