+0

# Find all θ

+1
206
3
+422

Sin(θ)=cos (θ)

Tan (θ)=cot (θ)

DarkKnight  Jun 30, 2017
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#1
+91247
+1

Sin(θ)=cos (θ)

Tan (θ)=cot (θ)

sine and cosine

tangent and cotenagent.

see that co?

That stands for complimentary .. and

Complimentary angles add to 90 degrees

so

$$Sin(\theta)=cosine (90-\theta)\\ so\;\;if\\ Sin(\theta)=cosine (\theta)\;\;then\\ \theta = 90-\theta\\ 2\theta=90\\ \theta=45^\circ\\ \text{of course there are an infinite number of answers but they are all of the from}\\ \theta =45+2\pi n\qquad n\in Z$$

You can do the other one yourself :)

Melody  Jul 1, 2017
#2
+422
+1

Aw, please :( I'm kind of struggling with definitions

DarkKnight  Jul 1, 2017
#3
+91247
+1

Come on.. try to understand what I have written.

If you understand the significance of the   'co'  in the front then all this becomes dead easy.

tangent and cotangent is

tan and cot

so

tan(x) = cot(90-x)

If tan(x)=cot(x)

then

x must equal 90-x

etc!

Melody  Jul 1, 2017

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