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stiks02 [169]
3 years ago
12

Find a numerical value of one trigonometric function of x for cos^2x+ 2sin x-2=0

Mathematics
2 answers:
Harrizon [31]3 years ago
5 0

Answer:

x = 90°

Step-by-step explanation:

We are given a trigonometric function of x from which we have to a solution for x.

The function is \cos^{2} x + 2\sin x - 2 = 0

⇒ 1 - \sin^{2} x + 2\sin x - 2 = 0  

{Since we know the identity \sin^{2} \alpha + \cos^{2} \alpha = 1}

⇒ \sin^{2} x - 2 \sin x + 1 = 0

⇒ (\sin x - 1)^{2} = 0

{Since we know the formula (a - b)² = a² - 2ab + b²}

⇒ (\sin x  - 1) = 0

⇒ \sin x = 1 = \sin 90

⇒ x = 90° (Answer)

Olenka [21]3 years ago
5 0

Answer:

c on edge

Step-by-step explanation:

idk what the guy above was doing

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