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Exercise

$8\left(tan\right)^2+4\sin\left(\frac{\pi}{6}\right)$

Step-by-step Solution

1

The sine of $\frac{\pi }{6}$ equals $\frac{1}{2}$

$8\tan\left(x\right)^2+4\cdot \left(\frac{1}{2}\right)$
2

Multiply the fraction and term in $4\cdot \left(\frac{1}{2}\right)$

$8\tan\left(x\right)^2+\frac{4\cdot 1}{2}$
3

Multiply $4$ times $1$

$8\tan\left(x\right)^2+\frac{4}{2}$
4

Divide $4$ by $2$

$8\tan\left(x\right)^2+2$

Final answer to the exercise

$8\tan\left(x\right)^2+2$

Try other ways to solve this exercise

  • Choose an option
  • Find the derivative
  • Integrate using basic integrals
  • Verify if true (using algebra)
  • Verify if true (using arithmetic)
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
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Similar Questions Solved

$\left(\sin\left(x\right)+\cos\left(x\right)\right)^2$

$1+cot^2x$

$tan\left(x\right)csc\left(x\right)$

$\tan\left(x\right)\csc\left(x\right)$

$\frac{2+\tan^2\left(x\right)}{\sec^2\left(x\right)}-1$

$csc^2x-1$

$\frac{2+tan^2x}{sec^2x}-1$

Main Topic: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

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