Question

from the given figure value of tan theta and sec theta? hyp= 2, opposite adjacent side = 1, adjacent side= √3​

Answer 1

Answer:-

• Hypotenuse ,H = 2
• Perpendicular ,P = 1
• Base ,B = √3

We have to calculate the value of tan∅ & Sec∅ .

As we know that

$:\implies$ tan∅ = P/B

Substitute the value we get

$:\implies$ tan∅ = 1/√3

Now, calculating the value of sec ∅

$:\implies$ Sec∅ = H/B

substitute the value we get

$:\implies$ Sec∅ = 2/√3 (You can also simplify if you want )

• Hence the value of tan∅ & Sec∅ are 1/√3 & 2/√3.

Answer 2

Answer:

Question :-

• From the given figure value of tan theta and sec theta? hyp= 2, opposite adjacent side = 1, adjacent side= √3.

Find Out :-

• Thee value of tanθ & Secθ.

Solution :-

Given in the question :

• Hypotenuse = 2
• Perpendicular = 1
• Base = √3

Let's calculate tanθ :-

As we know that

$\curlyeqsucc$ tanθ = $\tt{\dfrac{Perpendicular}{Base}}$

Substitute the value we get

$\curlyeqsucc$ tanθ = $\tt{\dfrac{1}{\sqrt{3}}}$

Now, calculating the value of secθ

$\curlyeqsucc$ Secθ = $\tt{\dfrac{Hypotenuse}{Base}}$

substitute the value we get

$\curlyeqsucc$ Secθ = $\tt{\dfrac{2}{\sqrt{3}}}$

Therefore, the value of tanθ & Secθ are 1/√3 & 2/√3.

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Extra Knowledge :-

Hypotenuse :

• A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°).

Perpendicular :

• Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Base :

• In mathematics, a base or radix is the number of different digits or combination of digits and letters that a system of counting uses to represent numbers.