Question

EXERCISE 11.4
Evaluate the following:


(1 + tan 0 + sec 0) (1 + cot – cosec )

please help me ​

Answer 1

Answer:

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Answer 2

Evaluate:

(1 + tan 0 + sec 0) (1 + cot – cosec )

= (1 + 1/cos + sin /cos ) / (1 + cos/sin - 1/sin )

= ( cos + sin + 1) (cos + sin - 1 ) / cos × sin

= (cos + sin)² - 1² / cos × sin

= 1 + 2 cos . sin - 1 / cos × sin= 2

Thus,

(1 + tan 0 + sec 0) (1 + cot – cosec ) = 2