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lana66690 [7]
2 years ago
12

Prove this trigonometric equation; - tan^2x + sec^2x = 1,

Mathematics
1 answer:
alekssr [168]2 years ago
3 0
Hey there :)

- tan²x + sec²x = 1    or    1 + tan²x = sec²x

sin²x + cos²x = 1 
Divide the whole by cos²x

\frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x}

\frac{sinx}{cosx} = tanx so \frac{sin^2x}{cos^2x} = tan^2x
and
\frac{1}{cosx} = secx so \frac{1}{cos^2x} = sec^2x

Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}

1 = - tan²x = sec²x or sec²x - tanx = 1

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Step-by-step explanation:

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Which of the following best shows two elements combining to form a compound!? Explain...
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2 years ago
Which step in the construction of copying a line segment ensures that the new line segment has
Nesterboy [21]

The steps 5 and 6 in the construction of a new line segment  ensures the lengths are equal.

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Below are the steps for copying a line segment:

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Hence steps 5 and 6 are the steps in the construction of a new line segment which ensures the lengths are equal.

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11 months ago
??????????????????????????????
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Answer:

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110 x 2 = 220in²

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