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2023-02-18

The value of $\mathrm{sin}\left(x\right)\mathrm{tan}\left(x\right)$ is equal to what?

Lexi Marks

Beginner2023-02-19Added 5 answers

Consider how $\mathrm{tan}\left(x\right)=\frac{\mathrm{sin}\left(x\right)}{\mathrm{cos}\left(x\right)}$?

In the expression above, if you substitute that, you will get: $\mathrm{sin}\left(x\right)\cdot \frac{\mathrm{sin}\left(x\right)}{\mathrm{cos}\left(x\right)}$.

Now it is just a matter of multiplying: $\frac{{\mathrm{sin}}^{2}\left(x\right)}{\mathrm{cos}\left(x\right)}$

In the expression above, if you substitute that, you will get: $\mathrm{sin}\left(x\right)\cdot \frac{\mathrm{sin}\left(x\right)}{\mathrm{cos}\left(x\right)}$.

Now it is just a matter of multiplying: $\frac{{\mathrm{sin}}^{2}\left(x\right)}{\mathrm{cos}\left(x\right)}$