The point (1,-1) is on the terminal side of angle theta in standard position what are the values of sine cuisine and tangent of

theta

Mathematics

1 answer:

pickupchik [31]3 years ago

3 0

$\bf \textit{terminal point }\implies 
\begin{array}{lclcll}
(&1&,&-1)\\
&\uparrow &&\uparrow \\
&x&&y
\end{array}
\\\\\\
sin(\theta)=\cfrac{y}{r}
\qquad 
% cosine
cos(\theta)=\cfrac{x}{r}
\qquad 
% tangent
tan(\theta)=\cfrac{y}{x}\\\\
-----------------------------\\\\
\textit{so, what's the radius "r"?}\implies r^2=x^2+y^2\implies r=\sqrt{x^2+y^2}$

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Find the values for θ that make each statement true. a. sinθ=cos32 b. cosθ=sin(θ+20).

faltersainse [42]

Answer:

a. 58

b. 35

Step-by-step explanation:

a. Given,

sinθ = cos 32

We know that cos x = sin (90 - x)

⇒ sin θ = sin (90 - 32)

⇒ sin θ = sin 58

⇒ θ = 58

Thus, the value of θ would be 58.

b. Given,

cosθ = sin(θ+20),

sin (90 - θ) = sin (θ + 20)

⇒ 90 - θ = θ + 20

⇒ 90 - 20 = θ + θ

⇒ 70 = 2θ

⇒ θ = 35

Thus, the value of θ would be 35.

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3 years ago

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melomori [17]

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