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slavikrds [6]
2 years ago
12

Simplify the expression using trigonometric identities: sec (–θ) – cos θ.

Mathematics
1 answer:
ololo11 [35]2 years ago
4 0

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.

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Answer:

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Step-by-step explanation:

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the operation:

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Gives a square number.

<h3>How to get a perfect square?</h3>

A perfect square is the product of a number and itself.

As you can see in the example, 16 is a square number. Then let's try to get 16.

To get 16 we can use the difference:

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To write 4 in in scientific notation:

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