Question

For $0 < \theta < \frac{\pi}{2}$, find the values of the trigonometric functions based on the given one (give your answers with THREE DECIMAL PLACES or as expressions, e.g. you can enter 3/5). If $\sin(\theta) = \frac{1}{10}$ then $\cos(\theta) =$ $\sec(\theta) =$ $\csc(\theta) =$ $\tan(\theta) =$ $\cot(\theta) = $

          For $0 < \theta < \frac{\pi}{2}$, find the values of the trigonometric functions based on the given one
(give your answers with THREE DECIMAL PLACES or as expressions, e.g. you can enter 3/5).
If $\sin(\theta) = \frac{1}{10}$ then
$\cos(\theta) =$
$\sec(\theta) =$
$\csc(\theta) =$
$\tan(\theta) =$
$\cot(\theta) = $

For 0 < θ < (π)/(2), find the values of the trigonometric functions based on the given one
(give your answers with THREE DECIMAL PLACES or as expressions, e.g. you can enter 3/5).
If sin(θ) = (1)/(10) then
cos(θ) =
sec(θ) =
csc(θ) =
tan(θ) =
cot(θ) =

Added by Sheila T.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Dani Dutmer

02/22/2024

Step 1

Using the Pythagorean identity: sin^2(\theta) + cos^2(\theta) = 1 (1/10)^2 + cos^2(\theta) = 1 1/100 + cos^2(\theta) = 1 cos^2(\theta) = 1 - 1/100 cos^2(\theta) = 99/100 cos(\theta) = ±√(99/100) Since \theta is in the first quadrant (0<\theta <π/2), cos(\theta) is Show more…

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For 0< heta <(pi )/(2), find the values of the trigonometric functions If sin( heta )=(1)/(10) then cos( heta )= sec( heta )= csc( heta )= tan( heta )= cot( heta )= 1 If sin()= then 10 cos(e= sec(= csc(9)= tan(0)= cot=