How do you prove that #sinthetacostheta=cottheta# is not an identity by showing a counterexample?

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sjc Share
Feb 17, 2017

Answer:

we just need one value to show this.

Explanation:

#"take "theta=45^0 " and work out teh approriate values"#

#LHS, " "sin45xxcos45=sqrt2/2xxsqrt2/2=2/4=1/2#

#RHS cot45=1/tan45=1/1=1#

#:.sin45cos45!=cot45#

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