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

Choose the correct alternative: tan (90 – θ) = ? - Geometry Mathematics 2

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प्रश्न

Choose the correct alternative:

tan (90 – θ) = ?

पर्याय

  • sin θ

  • cos θ

  • cot θ

  • tan θ

MCQ
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उत्तर

cot θ

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

संबंधित प्रश्‍न

 

Evaluate

`(sin ^2 63^@ + sin^2 27^@)/(cos^2 17^@+cos^2 73^@)`

 

Prove the identity (sin θ + cos θ)(tan θ + cot θ) = sec θ + cosec θ.


Without using trigonometric tables evaluate

`(sin 35^@ cos 55^@ + cos 35^@ sin 55^@)/(cosec^2 10^@ - tan^2 80^@)`


Prove the following trigonometric identities.

`cosec theta sqrt(1 - cos^2 theta) = 1`


Prove that

`sqrt((1 + sin θ)/(1 - sin θ)) + sqrt((1 - sin θ)/(1 + sin θ)) = 2 sec θ`


Prove the following identities:

(sec A – cos A) (sec A + cos A) = sin2 A + tan2


Prove the following identities:

`sqrt((1 - cosA)/(1 + cosA)) = sinA/(1 + cosA)`


Show that : `sinAcosA - (sinAcos(90^circ - A)cosA)/sec(90^circ - A) - (cosAsin(90^circ - A)sinA)/(cosec(90^circ - A)) = 0`


Prove the following identities:

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


Prove the following identities:

`cot^2A((secA - 1)/(1 + sinA)) + sec^2A((sinA - 1)/(1 + secA)) = 0`


`(sec^2 theta-1) cot ^2 theta=1`


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


If sin2 θ cos2 θ (1 + tan2 θ) (1 + cot2 θ) = λ, then find the value of λ. 


If x = asecθ + btanθ and y = atanθ + bsecθ , prove that `x^2 - y^2 = a^2 - b^2`


Without using trigonometric table , evaluate : 

`cos90^circ + sin30^circ tan45^circ cos^2 45^circ`


Without using trigonometric identity , show that :

`sec70^circ sin20^circ - cos20^circ cosec70^circ = 0`


Prove that:

`(cot A - 1)/(2 - sec^2 A) = cot A/(1 + tan A)` 


Verify that the points A(–2, 2), B(2, 2) and C(2, 7) are the vertices of a right-angled triangle. 


Choose the correct alternative:

cot θ . tan θ = ?


(1 – cos2 A) is equal to ______.


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