Question

Question 10:
(6 + )
sin (e - 6)
The value of sin
) is
cos e
sin e
seco
tand​

Answer 1

Answer:

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Step-by-step e

Practice set 1: Basic equations

Example: Solving \sin(x)=0.55sin(x)=0.55sine, left parenthesis, x, right parenthesis, equals, 0, point, 55

Let's use the calculator and round to the nearest hundredth.

\sin^{-1}(0.55)=0.58sin  

−1

(0.55)=0.58sine, start superscript, minus, 1, end superscript, left parenthesis, 0, point, 55, right parenthesis, equals, 0, point, 58

(We are using radians.)

We can use the identity \sin(\pi-\theta)=\sin(\theta)sin(π−θ)=sin(θ)sine, left parenthesis, pi, minus, theta, right parenthesis, equals, sine, left parenthesis, theta, right parenthesis to find the second solution within [0,2\pi][0,2π]open bracket, 0, comma, 2, pi, close bracket.

\pi-0.58=2.56π−0.58=2.56pi, minus, 0, point, 58, equals, 2, point, 56

We use the identity \sin(\theta+2\pi)=\sin(\theta)sin(θ+2π)=sin(θ)sine, left parenthesis, theta, plus, 2, pi, right parenthesis, equals, sine, left parenthesis, theta, right parenthesis to extend the two solutions we found to all solutions.