Explanation Formula: Reciprocal identities: sin u = 1 csc u , cos u = 1 sec u , tan u = 1 cot u csc u = 1 sin u , sec u = 1 cos u , cot u = 1 tan u , Sum identity: tan ( α + β ) = tan α + tan β 1 − tan α tan β Proof: Consider the provided identity tan ( x + π 2 ) = − cot x . To verify the provided identity, start with the left side of the identity tan ( x + π 2 ) . Use the sum identity. So, the left side of the expression becomes, tan ( x + π 2 ) = tan x + tan ( π 2 ) 1 − tan x tan ( π 2 ) As tan ( π 2 ) is not defined, divide both numerator and denominator by tan ( π 2 ) to eliminate it

Bundle: Precalculus, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Precalculus, 10th Edition, Single-Term

10th Edition

ISBN: 9781337605090

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 5.CT, Problem 8CT

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To verify:

The identity tan(x+π2)=−cotx.

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Bundle: Precalculus, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Precalculus, 10th Edition, Single-Term

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To verify: The identity tan ( x + π 2 ) = − cot x .

Solution Summary: The author explains how to verify the provided identity by starting with the left side of the identity and using the sum identity.

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To verify:

The identity tan(x+π2)=−cotx.

Want to see the full answer?

Chapter 5 Solutions

To verify: The identity tan ( x + π 2 ) = − cot x .

Solution Summary: The author explains how to verify the provided identity by starting with the left side of the identity and using the sum identity.

Videos

To verify: The identity tan(x+π2)=−cotx.

Want to see the full answer?

Chapter 5 Solutions

To verify:

The identity tan(x+π2)=−cotx.