HW 4.1.2: Simplifying and Verifying Trigonometric Expressions

HW 4.1.2: Simplifying and Verifying Trigonometric Expressions

Simplify each of the following to an expression involving a single trig function with no fractions.

1.) csc(t) tan t

2.) cos(t) csc t

sect 3.) csct

4.)

sec tan

cot t 5.) csct

1 sin2 t 6.) sin2 t

sin2 t cos2 t

7.)

cos2 t

sect cost 8.) sin t

9.) sin xtan x cot x

10.) 1 sin 1 sin

David Lippman and Melonie Rasmussen ? 2015. Precalculus: An Investigation of Functions Ed. 1.5. Retrieved from:

Verify the identities. Manipulate the left side to equal the right side.

11.)

sin2 1 cos

1 cos

12.) 1 cot( ) sin( ) cos( ) csc( )

13.)

cos2 1 sin

1

sin

14.)

1 tan2 b tan2 b

csc2 (b)

15.) cos xsec x cscx 1 cot x

16.)

1 cos A1 cos A

sin A

sin A

17.)

sin4 sin

cos4 cos

sin

cos

18.)

1 sint cos2 t

1

1 sint

2 sec2

t

19.) cos x sin x2 cos x sin x2 2

20.) sec2 x tan2 x tan x sin x cos x sec x

David Lippman and Melonie Rasmussen ? 2015. Precalculus: An Investigation of Functions Ed. 1.5. Retrieved from:

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