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Tan theta multiplied by csc theta equals sec theta ?

Answer 1

Caroline Adams

Yes it does:

#tan theta csc theta = sin theta/cos theta cdot 1/sin theta = 1/cos theta = sec theta #

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Answer 2

Madelyn Adams

#"see explanation"#

#"using the "color(blue)"trigonometric identities"#

#•color(white)(x)sectheta=1/costheta" and "csctheta=1/sintheta#

#•color(white)(x)tantheta=sintheta/costheta#

#rArrtanthetaxxcsctheta#

#=cancel(sintheta)/costhetaxx1/cancel(sintheta)=1/costheta=sectheta#

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Answer 3

Caroline Adams

The equation (\tan(\theta) \times \csc(\theta) = \sec(\theta)) holds true for certain values of (\theta) in trigonometry. This equation can be rewritten using trigonometric identities to simplify it further.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.