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Naily [24]
3 years ago
7

What are all the exact solutions of 2sec^2x-tan^4x=-1 ?

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0
The first thing to do would be to simplify the equation first. Let's apply the trigonometric functions properties where 1 + tan²x = sec² x. So, we can substitute this to the equation so that it would purely be a function of tangents.

<span>2sec</span>²<span>x-tan</span>⁴<span>x=-1
2(1+tan</span>²x) - tan⁴x = 1
2 + 2 tan²x - tan⁴x + 1 = 0
tan⁴x - 2tan²x + 1 = 0
(tanx -1)² = 0
tanx - 1 = 0
tanx = 1
x = tan⁻¹ 1
x = 45°

So, the solution for the given trigonometric equation is 45° or π/4 radians.
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Step-by-step explanation:

f(x) = -3x^3 + x^2 – 3       f(2) means that wherever you see a x, put in a 2.

f(2)= -3(2)^3 + (2)^2 - 3

f(2) = -3*8 + 4 - 3

f(2) = - 24 + 1

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2 years ago
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If y what? I think you're missing part of the question...
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-19\frac{1}{2} = -\frac{39}{2}

According to this, this is definitely in the right place.

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murzikaleks [220]
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Lesechka [4]

Answer:

Hey Friend.....

Step-by-step explanation:

This is ur answer....

<h3><em>68 + 52 = 120</em></h3><h3><em>Sum of Triangle = 180 </em></h3><h3><em>Value of Interior Angle = </em></h3><h3><em>180 - 120 </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>= 60</em></h3><h3><em>Supplementary Angle Measure </em><em>=</em><em> </em><em>180 </em></h3><h3><em>= 180 - 60 </em></h3><h3><em> </em></h3><h3><em>Value of F Angle = 120</em></h3>

Hope it helps!

Brainliest pls!

Follow me! :)

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2 years ago
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