Solve 2020sqrt(csca-7) 2563sqrt(csca-1)

Calculator

Examples

DOWNLOAD FOR FREE

Example problems

Type your math problem... 2020sqrt(csca-7) 2563sqrt(csca-1)

Question

Simplify the expression

5177260 \frac{8 - 8 sin ( a ) - 7 cos ^{2} ( a )}{1 - cos ^{2} ( a )}

Evaluate

2020 csc (a) - 7 \times 2563 csc (a) - 1

Multiply the terms

5177260 csc (a) - 7 \times csc (a) - 1

Multiply the terms

More Steps

Evaluate

csc (a) - 7 \times csc (a) - 1

The product of roots with the same index is equal to the root of the product

(csc (a) - 7) (csc (a) - 1)

Calculate the product

More Steps

Use the the distributive property to expand the expression

csc (a) csc (a) + csc (a) (- 1) - 7 csc (a) - 7 (- 1)

Multiply the terms

csc^{2} (a) + csc (a) (- 1) - 7 csc (a) - 7 (- 1)

Multiply the terms

csc^{2} (a) - csc (a) - 7 csc (a) - 7 (- 1)

Simplify

csc^{2} (a) - csc (a) - 7 csc (a) + 7

Calculate

csc^{2} (a) - 8 csc (a) + 7

csc^{2} (a) - 8 csc (a) + 7

5177260 csc^{2} (a) - 8 csc (a) + 7

Simplify

5177260 \frac{1 - 8 sin ( a ) + 7 sin ^{2} ( a )}{sin ^{2} ( a )}

Solution

5177260 \frac{8 - 8 sin ( a ) - 7 cos ^{2} ( a )}{1 - cos ^{2} ( a )}

Show Solution

English