4 years ago

What is 7+2t+3t in its simplest form?

Mathematics

2 answers:

larisa [96]4 years ago

7 0

$7+2t+3t=5t+7.$

laiz [17]4 years ago

3 0

7+2t+3t is just 7+5t

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Proove that <br>1/1-sin theta + 1/1+cos theta = 2×sec square theta

Rina8888 [55]

Step-by-step explanation:

We need to prove that,

$\dfrac{1}{1-\sin\theta}+\dfrac{1}{1+\sin\theta}=2\times \sec^2\theta$

Taking LHS,

$\dfrac{1}{1-\sin\theta}+\dfrac{1}{1+\sin\theta}\\\\=\dfrac{(1+\sin\theta)+(1-\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}\\\\=\dfrac{2}{1-\sin^2\theta}\\\\\text{As}\ 1-\sin^2\theta=\cos^2\theta\\\\=\dfrac{2}{\cos^2\theta}\\\\\text{As}\ \dfrac{1}{\cos^2\theta}=\sec^2\theta\\\\=2\sec^2\theta\\\\=RHS$