a. Use you calculator to determine which two of the followingequations is an identity. 1/(sinx + cosx)= cscx +secx 1/(1-sin^2x)= 1+ tan^2x b. Verify the identity equation.

scherezade29pc

scherezade29pc

Answered question

2022-07-30

a. Use you calculator to determine which two of the following equations is an identity.
1 / ( sin x + cos x ) = csc x + sec x
1 / ( 1 sin 2 x ) = 1 + tan 2 x
b. Verify the identity equation.

Answer & Explanation

Steppkelk

Steppkelk

Beginner2022-07-31Added 11 answers

b) 1 / ( sin x + cos x ) = csc x + sec x = 1 / ( sin x + cos x ) = 1 / sin x + 1 / cos x not true
1 / ( 1 sin 2 x ) = 1 + tan 2 x ( 1 sin 2 x = cos 2 x )   s o : 1 / cos 2 x = 1 + sin 2 x / cos 2 x 1 / cos 2 x = ( cos 2 x + sin 2 x ) / cos 2 x   a n d   ( cos 2 x + sin 2 x = 1 ) 1 / cos 2 x = 1 / cos 2 x
on2t1inf8b

on2t1inf8b

Beginner2022-08-01Added 4 answers

1 / ( sin x + cos x ) = csc x + sec x
csc x = 1 / sin x
sec x = 1 / cos x
1 / ( sin x + cos x ) = 1 / sin x + 1 / cos x
not true
1 / ( 1 sin 2 x ) = 1 + tan 2 x
1 sin 2 x = cos 2 x
1 + tan 2 x = sec 2 x
1 / cos 2 x = sec 2 x
sec 2 x = sec 2 x

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