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Evaluate : (i) cos 48° – sin 42° (ii) cosec 31° – sec 59°

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Evaluate :

(i)  cos 48° – sin 42°

(ii)  cosec 31° – sec 59°

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(iii) cos 48° – sin 42°

We know that, 48° is written as 90° – 42°, which is equal to the sin 42°.

= cos (90° – 42°) – sin 42°

Substitute the value, to simplify this equation

= sin 42° – sin 42° = 0

(iv) cosec 31° – sec 59°

We know that, 31° is written as 90° – 59°, which is equal to the sec 59°

= cosec (90° – 59°) – sec 59°

Substitute the value, to simplify this equation

= sec 59° – sec 59° = 0

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