Tutor profile: Leshaine D.
Simplify $$2sin^2θ$$ -2
Recall Pythagorean identity $$sin^2θ + cos^2θ$$=1 Rearrange the Pythagorean identity to match $$2sin^2θ$$ -2 Step 1: Subtract $$cos^2θ$$ from both sides $$sin^2θ =1- cos^2θ$$ $$sin^2θ-1 =- cos^2θ$$ Multiply both sides by 2 $$2sin^2θ-2 =-2 cos^2θ$$ Final answer: $$-2 cos^2θ$$
Simplify the expression: -(2x-3)+ 5
In this problem the most crucial thing to pay attention to are brackets. To simplify: -(2x-3)+ 5 Step 1: We need to expand the brackets: On the outside of the bracket is a negative sign we treat that as -1. Step 2: Multiply each term in the bracket by -1 that is 2x by -1 2x*-1= -2x -3*-1=3 Step 3: Put the terms together -2x+3 Step 4: Add the final term -2x+3+5 Step 5: Simplify -2x+8
Subject: Basic Math
Express 65/1,000 as a decimal
Before this problem is solved note that there is an "imaginary" decimal point in front of the 5 this is not shown because 65 does not have decimals. 65. To express fractions as decimals when the denominator is a power of 10 we simply move the decimal point in front of the 65 back 3 times so get 0.065
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