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miss Akunina [59]
3 years ago
5

Pd). cot x/sec x show that -=cos ecx -sin x​

Mathematics
1 answer:
forsale [732]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

• cot x = \frac{cosx}{sinx}

• sec x = \frac{1}{cosx} and cosec x = \frac{1}{sinx}

Consider the left side

\frac{cotx}{secx}

= \frac{cosx}{sinx} × cosx

= \frac{cos^2x}{sinx}

= \frac{1-sin^2x}{sinx}

= \frac{1}{sinx} - \frac{sin^2x}{sinx}

= cosec x - sin x

= right side ⇒ verified

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