Question

Evaluate the following and justify your answer
sec 16° cosec 74º – cot 74º tan 16°.​

Answer 1

Answer:

sec16° cosec74° - cot74° tan16°

= sec( 90 - 74) cosec74° - cot74° tan( 90 - 74)

= cosec74° cosec74° - cot74° cot74°

= cosec²74° - cot²74°

= 1

the answer is 1.

Step-by-step explanation:

formula used

$1. \sec(90 - \alpha ) = \ \csc( \alpha ) \\2. \tan(90 - \alpha ) = \cot( \alpha ) \\ 3. \: { \csc( \alpha ) }^{2} - { \cot( \alpha ) }^{2} = 1.$

Answer 2

Answer

Sorry I did not know solution