If $f(\theta )=\mathrm{sin}\theta =0.2$

Find$f(\theta +\pi )$

Find

Lennie Carroll
2020-12-28
Answered

If $f(\theta )=\mathrm{sin}\theta =0.2$

Find$f(\theta +\pi )$

Find

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yunitsiL

Answered 2020-12-29
Author has **108** answers

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asked 2022-05-19

I've been trying to figure out why this equation is satisfied:

$\frac{1-(\mathrm{cos}(x){)}^{3}}{{x}^{2}}=\frac{2\cdot (\mathrm{sin}(\frac{x}{2}){)}^{2}}{{x}^{2}}\cdot (1+\mathrm{cos}(x)+(\mathrm{cos}(x){)}^{2})$

but I can't find the proper trigonometric changes in order to change from one to another. I know that the sine comes from the double angle formula, but I obtain slightly different results in other parts and it's never the same as the formula above.

$\frac{1-(\mathrm{cos}(x){)}^{3}}{{x}^{2}}=\frac{2\cdot (\mathrm{sin}(\frac{x}{2}){)}^{2}}{{x}^{2}}\cdot (1+\mathrm{cos}(x)+(\mathrm{cos}(x){)}^{2})$

but I can't find the proper trigonometric changes in order to change from one to another. I know that the sine comes from the double angle formula, but I obtain slightly different results in other parts and it's never the same as the formula above.

asked 2022-07-26

Solve the trigonometric equations on the interval $0\le \theta <2\pi $.

(32)$4(1+\mathrm{sin}\theta )={\mathrm{cos}}^{2}\theta $

(38)$\mathrm{sec}\theta =\mathrm{tan}\theta +\mathrm{cot}\theta $

(40)$\sqrt{3}\mathrm{sin}\theta +\mathrm{cos}\theta =1$

(32)$4(1+\mathrm{sin}\theta )={\mathrm{cos}}^{2}\theta $

(38)$\mathrm{sec}\theta =\mathrm{tan}\theta +\mathrm{cot}\theta $

(40)$\sqrt{3}\mathrm{sin}\theta +\mathrm{cos}\theta =1$

asked 2021-06-01

Use trigonometric identities to transform the left side of the equation into the right side.

asked 2021-01-27

If $8{R}^{2}={a}^{2}+{b}^{2}+{c}^{2}$ ,prove that the triangle is right angle triangle. Here a,b and c are the lengths of side of triangle and R is circum radius.

asked 2021-06-05

Verify that the equation is an identity. (Hint: $\mathrm{cos}2x=\mathrm{cos}(x+x)$ .)

$\mathrm{cos}2x+2{\mathrm{sin}}^{2}x-1=0$

asked 2020-12-17

In triangle ABC, a=5,

asked 2021-02-27

Prove that
$\text{sinh}(x+y)=\mathrm{sin}x\text{cosh}y+\text{cosh}x\text{sinh}y$