Prove: sin^2x (sec^2x + csc^2x)=sec^2x

1 answer:

4 0

Sin^2x (sec^2x + csc^2x) = sec^2x

I would convert the functions in the parentheses to their reciprocals.

sin^2x (1/cos^2x + 1/sin^2x) = sec^2x

Now distribute the sine.

sin^2x/cos^2x + sin^2x/sin^2x = sec^2x

Remember that sine divided by cosine is always tangent.

tan^2x + sin^2x/sin^2x = sec^2x

The remaining fraction is simply 1.

tan^2x + 1 = sec^2x

Use the Pythagorean identity to add the left side.

sec^2x = sec^2x

Q.E.D.

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Luba_88 [7]

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3 years ago

Use set builder notation to write each of the following sets 45,55,65,75

butalik [34]

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Explanation:

As we know that set is the collection of elements and set builder is the method of defining the set with the help of specific property in which we can use arithmetic operations as well

Generally,

It is the general form of any set in which we can construct the complete set with the help of equation in the given in set builder form.

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Answer:

Write the following sentences and give the function of each underlined word.

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b. Shoaib is the name of a person and large describes the company.

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d. Me stands in place of a noun (the person speaking) and morning is the name given to the early

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