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What's the difference between the Imperfect and Preterite tense?

The Imperfect tense is primarily used for explaining actions that happened regularly in the past or for explaining characteristics and states of things in the past. For example, you would say 'había mucho ca...
IF
Answered by Imogen F. • Spanish tutor
2636 Views

When do I use the subjunctive in Spanish?

The subjunctive is a mood, not a tense. The other ‘moods’ would be the indicative and the imperative. The subjunctive also exists in English (“If I were rich, I would…”) but it is much more common in Spanish...
JK
Answered by Jasmine K. • Spanish tutor
2292 Views

Prove the identity: (cos θ + sin θ)/(cosθ-sinθ) ≡ sec 2θ + tan 2θ

First rewrite right hand side in terms of sinθ and cosθ, because those are the terms we'll be dealing with on the left hand side: sec2θ+tan2θ = 1/cos2θ + sin2θ/cos2θ, so RHS = (1+sin2θ)/cos2θNow look at the ...
MM
Answered by Margot M. • Maths tutor
8606 Views

Simplify the following quadratic equation: 3x^2 + 20x - 500 = 0.

x = −b ± √(b 2 − 4ac) / 2a x = −20 ± √(20 2 − 4(3)(-500)) / 2(3) x = (3x + 50) (x - 10)
AS
Answered by Aarnav S. • Maths tutor
1805 Views

How would I go about solving 3(x-2) = x+7?

First of all, you want to try and get rid of the brackets so the equation is easier to simplify in the next steps. So you multiply the whole bracket by 3. So it is 3x-6 = x+7. Secondly, in order to solve the...
FA
Answered by Finn A. • Maths tutor
8992 Views