# Tutor profile: Grace J.

## Questions

### Subject: Trigonometry

$$Secant$$ is the reciprocal of ___________. $$a. sine$$ $$b. cosine$$ $$c. tangent$$ $$d. cosecant$$

The $$secant$$ function is the reciprocal of the $$cosine$$ function. The abbreviation of $$secant$$ is $$sec$$ and $$cosine$$ is $$cos$$. $$cos = adjacent/hypotenuse$$ $$sec = hypotenuse/adjacent$$

### Subject: Geometry

What is the area of a circle with a diameter of $$10in. $$?

Area of a circle $$=\pi r^2$$ Diameter $$=2 r$$ $$r=radius$$ Hence, $$r=5in.$$ $$r^2=25$$ Answer: Area of circle $$=25\pi$$

### Subject: Algebra

If $$5x + 3 = 7x - 1 $$, Find $$x$$

1. Combine like terms 2. Add $$1$$ to each side of the equation 3. New equation becomes $$5x + 4 = 7x $$ 4. Subtract 5x on both sides of the equation 5. New equation becomes $$ 4 = 2x $$ which is the same as $$2x=4$$ 6. Divide both sides by $$2$$ to isolate your $$x$$ 7. Answer: $$x=2$$

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