Combine like terms.
1 answer:
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ANSWER
The greatest common factor is
EXPLANATION
We want to find the greatest common factor of
and
The prime factorizations are;
and
The product of the least powers of the common factors is the greatest common factor.
The greatest common factor is
EXPLANATION
We want to find the greatest common factor of
and
The prime factorizations are;
and
The product of the least powers of the common factors is the greatest common factor.
(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ = = 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified