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Mnenie [13.5K]
3 years ago
9

Simplify (1 − cos x)(1 + cos x). 1 cos2 x sin2 x tan2 x

Mathematics
1 answer:
Phoenix [80]3 years ago
3 0
Answer

The expression is equivalent to sin^{2}x

The first step is to multiply the two expressions between parentheses :
(II)
There is a trigonometric identity that states :

Working with this expression :
⇒
(I)
Using the equation (I) in (II) :
⇒


Read more on Brainly.com - brainly.com/question/3907632#readmore
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Step-by-step explanation:

There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.

Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.

For the first problem, we'll do it the first way:

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__

a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)

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__

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