Mathematics: Which of the following is a trigonometric identity? a. cot(theta)+tan(theta)=1b. sec^2(theta)+csc^2(theta)=1c. tan^2(theta)=sin^2(theta)×sec^2 (theta)d. cos^2(theta)=sec^2 (theta)×tan^2(theta)

Which of the following is a trigonometric identity?

Ответ:

kmontanab00

01.01.2022

$\bf sec(\theta)=\cfrac{1}{cos(\theta)}\\\\
-----------------------------\\\\
sin^2(\theta)\cdot sec^2(\theta)\implies sin^2(\theta)\cdot \cfrac{1^2}{cos^2(\theta)}\implies \cfrac{sin^2(\theta)}{cos^2(\theta)}\iff tan^2(\theta)$

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Ответ:

kirbymichellrow6zq9

01.01.2022

Mathematics

C) $tan^{2} (theta)=sin^{2}(theta ) * sec^{2}(theta)$ .

Step-by-step explanation:

Given : trigonometric identity.

To find : which of the following is a trigonometric identity.

Solution : We have given trigonometric identity.

By the trigonometric identity :

Cos ( theta) = $\frac{1}{Sec (theta)}$ .

tan( theta) = $\frac{Sin(theta)}{Cos (theta)}$ .

Taking square both sides

$tan^{2}(theta) =\frac{Sin^{2}(theta) }{Cos^{2}(theta)}$

Plugging the identity I Cos ( theta) = $\frac{1}{Sec (theta)}$ .

$tan^{2}(theta) = \frac{sin^{2}(theta)}{\frac{1}{sec^{2}(theta)}}$

$tan^{2} (theta)=sin^{2}(theta ) * sec^{2}(theta)$

Therefore, C) $tan^{2} (theta)=sin^{2}(theta ) * sec^{2}(theta)$ .

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Ответ:

anaaaa46

27.09.2022

Mathematics

nonono your not getting away now. im gonna try to do answers as much as i can.

Step-by-step explanation:

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Which of the following is a trigonometric identity?
a. cot(theta)+tan(theta)=1
b. sec^2(theta)+csc^2(theta)=1
c. tan^2(theta)=sin^2(theta)×sec^2 (theta)
d. cos^2(theta)=sec^2 (theta)×tan^2(theta)

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