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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Choose the correct alternative: sec2θ – tan2θ = ? - Geometry Mathematics 2

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प्रश्न

Choose the correct alternative:

sec2θ – tan2θ =?

पर्याय

  • 0

  • 1

  • 2

  • `sqrt(2)`

MCQ
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उत्तर

1

1 + tan2θ = sec2θ

∵ sec2θ – tan2θ = 1.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Trigonometry - Q.1 (A)

संबंधित प्रश्‍न

`(1+tan^2A)/(1+cot^2A)` = ______.


Prove the following trigonometric identity:

`sqrt((1 + sin A)/(1 - sin A)) = sec A + tan A`


Prove the following trigonometric identities.

`sqrt((1 - cos A)/(1 + cos A)) = cosec A - cot A`


Prove the following trigonometric identities.

`(cos theta - sin theta + 1)/(cos theta + sin theta - 1) = cosec theta  + cot theta`


Prove the following trigonometric identities.

if `T_n = sin^n theta + cos^n theta`, prove that `(T_3 - T_5)/T_1 = (T_5 - T_7)/T_3`


Prove that:

`1/(cosA + sinA - 1) + 1/(cosA + sinA + 1) = cosecA + secA`


If sin A + cos A = p and sec A + cosec A = q, then prove that : q(p2 – 1) = 2p.


`(tan^2theta)/((1+ tan^2 theta))+ cot^2 theta/((1+ cot^2 theta))=1`


If `( cosec theta + cot theta ) =m and ( cosec theta - cot theta ) = n, ` show that mn = 1.


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Prove the following identity :

`(1 - cos^2θ)sec^2θ = tan^2θ`


Prove the following identity:

tan2A − sin2A = tan2A · sin2A


Find the value of `θ(0^circ < θ < 90^circ)` if : 

`tan35^circ cot(90^circ - θ) = 1`


Prove that `(sin θ tan θ)/(1 - cos θ) = 1 + sec θ.`


If x = a sec θ + b tan θ and y = a tan θ + b sec θ prove that x2 - y2 = a2 - b2.


If sin θ (1 + sin2 θ) = cos2 θ, then prove that cos6 θ – 4 cos4 θ + 8 cos2 θ = 4


If tan θ = `13/12`, then cot θ = ?


Prove the following:

(sin α + cos α)(tan α + cot α) = sec α + cosec α


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