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lukranit [14]
2 years ago
14

2sinx / cos3x = tan3x - tanx -verify the identity-

Mathematics
1 answer:
scoundrel [369]2 years ago
6 0

Answer:

cos3x+tan3x=0  

⟹cos3x=−tan3x

⟹cos3x=−sin3xcos3x

⟹cos23x=−sin3x

⟹1−sin23x=−sin3x

⟹sin23x−sin3x−1=0

This is a quadratic equation in sin3x.

sin3x=−(−1)±(−1)2−4×1×(−1)−−−−−−−−−−−−−−−−−√2×1

sin3x=1±5–√2

If x takes real values, the upper sign must be rejected.

sin3x=1−5–√2

⟹3x=nπ+(−1)nsin−11−5–√2

⟹x=13[nπ+(−1)nsin−11−5–√2]

Step-by-step explanation:

Hope this kind of helps

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Given 4,7,10,13. Calculate the 20th term.​
Pavlova-9 [17]

Answer:

61

Step-by-step explanation:

to calculate the 20th term you use the formula

Tn=a+(n-1)d where a stands for the first term,n the number of terms and d the common difference.in this case the first term is 4 the common difference is 3 cause they were adding 3 to go to the next term.. therefore the solution will be:

Tn=4+(20-1)3

=4+19×3

=4+57

=61

the 20th term is 61

I hope this helps

7 0
3 years ago
Can I have help with this!!!!!!!!!!
77julia77 [94]

Answer:

The answer is 19

Step-by-step explanation: 13 scored from 91-100, and 6 scored from 81-90, all you have to do is add them together.

3 0
3 years ago
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The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that was 9 days late. If
Nataly [62]

Answer:

16

Step-by-step explanation:

4 0
2 years ago
Simplify without using the calculator or the sin tables.​
katovenus [111]

Answer:

1/8

Step-by-step explanation:

sin²(π/8) − cos⁴(3π/8)

Use power reduction formulas:

1/2 (1 − cos(2×π/8)) − 1/8 (3 + 4 cos(2×3π/8) + cos(4×3π/8))

Simplify:

1/2 (1 − cos(π/4)) − 1/8 (3 + 4 cos(3π/4) + cos(3π/2))

1/2 (1 − √2/2) − 1/8 (3 + 4 (-√2/2) + 0)

1/2 − √2/4 − 1/8 (3 − 2√2)

1/2 − √2/4 − 3/8 +√2/4

1/2 − 3/8

1/8

7 0
3 years ago
Factor x^2 + 12x + 36
larisa [96]

Answer:

(x + 6 )(x + 6 )

2 numbers to add to 12 but also multiply to get 36

8 0
3 years ago
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