Answer:
tan²x + 1 = sec²x is identity
Step-by-step explanation:
* Lets explain how to find this identity
∵ sin²x + cos²x = 1 ⇒ identity
- Divide both sides by cos²x
∵ sin x ÷ cos x = tan x
∴ sin²x ÷ cos²x = tan²x
- Lets find the second term
∵ cos²x ÷ cos²x = 1
- Remember that the inverse of cos x is sec x
∵ sec x = 1/cos x
∴ sec²x = 1/cos²x
- Lets write the equation
∴ tan²x + 1 = 1/cos²x
∵ 1/cos²x = sec²x
∴ than²x + 1 = sec²x
- So we use the first identity sin²x + cos²x = 1 to prove that
tan²x + 1 = sec²x
∴ tan²x + 1 = sec²x is identity
Answer:
£9.80
Step-by-step explanation:
The calculation of the total value is given below:
Provided that that
The value of 20p coins is £2.80
So 1p = £2.80 ÷ 20
= £0.14
For 50p it would be
= £0.14 × 50
= £7
Now the total value is
= £2.80 + £7
= £9.80
Answer:
3
Step-by-step explanation:
Answer:
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