Answer: 0.457
multiply 3 by 7, and get 21
multiply 1 by 5, and get 5.
5 × 7 = 35.
fraction: 21/35 and 5/35
Subtract the numerators
21 − 5 = 16 = 16/35
Now we need to simplify the fraction that we have.
17 is larger than 16. So we're done reducing numbers.
<em>Our final answer: </em><em />
Hope this helps!
I am joyous to assist anytime.
<em>~Jarvis</em>
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Answer:
see explanation
Step-by-step explanation:
(4)
consider the left side
factor the numerator
cosx - cos³x = cosx(1 - cos²x)
cancel sinx on numerator/denominator
= cosxsinx =right side ⇒ verified
(5)
Consider the left side
expand the factors
(1 + cotΘ)² + (1 - cotΘ)²
= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ
= 2 + 2cot²Θ
= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ
= 2cosec²Θ = right side ⇒ verified
(6)
Consider the left side
the denominator simplifies to
cosxtanx = cosx × = sinx
= sinx( +
)
= +
= tanx + 1 = right side ⇒ verified
