# Tutor profile: Abhinav S.

## Questions

### Subject: Trigonometry

If Sin A = 0.6, The opposite side of angle A is 3 cm . Then what is Cos A?

In Trigonometry, we remember these basic things - a. Sin A = opposite side / Hypotenuse b. Cos A = Adjacent side / Hypotenuse c. Tan A = opposite side / Adjacent side d. (Opposite)^2 + (adjacent)^2 = (hypotenuse)^2 So here, Sin A = 0.6 means, opposite side / hypotenuse = 0.6 or, 3 cm / hypotenuse = 0.6 or, hypotenuse = 3 cm / 0.6 = 5 cm For Cos A , we need to find adjacent side. (Opposite)^2 + (adjacent)^2 = (hypotenuse)^2 or, (3 cm)^2 + (adjacent)^2 = (5 cm)^2 or, (adjacent)^2 = (5 cm)^2 - (3 cm)^2 = 25 - 9 = 16 sq cm hence, adjacent = Square root of 16 = 4 cm So, Cos A = Adjacent side / Hypotenuse = 4 cm / 5 cm = 0.8

### Subject: Pre-Algebra

We have 3 baskets of apples, each containing certain equal number of apples. And we have 1 more basket of apples with 7 apples. Write an algebraic expression for total number of apples.

To make an algebraic equation we follow these steps -- STEP 1 : What is not know? In this question, number of apples in each of 3 baskets is not known. STEP 2 : Name the unknown Let us name the number in each 3 baskets as "X" STEP 3: To identify for what we have to make algebraic expression Here we have to find total number of apples STEP 4 : Form the expression We have 4 baskets - 3 baskets with "X" number of apples and 1 basket with 7 apples So total apples in 3 baskets = 3 times "X" = 3X (we remove times and simply write 3X) Apple in 4th basket = 7 Hence, total apples = apples in 3 baskets + apple in 4th basket = 3X + 7 Thus the algebraic expression is 3X+7

### Subject: Basic Math

Real Madrid won 80% of the games it played in this season. If they played a total of 40 games, how many games they didn't win?

Percent means "how much out of 100" ! So if Real Madrid won 80% of the games it played in this season, it means - it won 80 out of every 100 matched it played. Mathematically, to find the number corresponding to percent, we multiply the total number with percent and divide by 100. Meaning, number of wins = 80% of total games = 80/100*(total games) Now, Real Madrid played 40 games. So, number of wins = 80/100*40 = 3200/100 = 32 Thus, Real Madrid won 32 games out of 40. We have to find how many games they did not win. That will be rest of the games i.e. 40-32 = 8 games.

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