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1 answer:
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Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
secx = , cosecx =
cotx = , tanx =
Consider the left side
secA cosecA - cotA
= ×
-
= -
=
= ( cancel sinA on numerator/ denominator )
=
= tanA = right side ⇒ proven
Answer:
a. 24 ÷ 3 = 8 ⇒ i. 8 × 3 ÷ (6 − 3) = 8
b. 53 × 7 = 371 ⇒ h. (8 × 7 − 3) × 7 = 371
g. 8 × (5 × 12 − 10) = 400 ⇒ f. 8 × 50 = 400
Step-by-step explanation:
Given:
We have to match the equivalent expressions:
a. 24 ÷ 3 f. 8 × 50
b. 53 × 7 g. 8 × (5 × 12 − 10)
c. 56 − 21 h. (8 × 7 − 3) × 7
d. 4 − 3 i. 8 × 3 ÷ (6 − 3)
e. 40 × 2
Solution:
a. 24 ÷ 3 = 8
b. 53 × 7 = 371
c. 56 − 21 = 35
d. 4 − 3 = 1
e. 40 × 2 =80
f. 8 × 50 = 400
g. 8 × (5 × 12 − 10) <em>Using PEMDAS rule.</em>
⇒
⇒
⇒
h. (8 × 7 − 3) × 7
⇒
⇒
⇒
i. 8 × 3 ÷ (6 − 3) = 8
⇒
⇒
⇒
Answers:
a. 24 ÷ 3 = 8 ⇒ i. 8 × 3 ÷ (6 − 3) = 8
b. 53 × 7 = 371 ⇒ h. (8 × 7 − 3) × 7 = 371
g. 8 × (5 × 12 − 10) = 400 ⇒ f. 8 × 50 = 400
c,d and e didn't have any match
a is equivalent to i,b equivalent to h and g is equivalent to f.