Question
Fill in the blanks: Sin A = ? (Cos A)
रिक्त स्थान भरें: sinA = ? (Cos A)
A.
B.
C.
D.
Answer
B.sin A = ? (cos A) tan A=sin A / cos A tan A x cos A=(sin A / cos A) x cos A=sin A So the correct answer is option B.
B.sin A = ? (cos A) tan A=sin A / cos A tan A x cos A=(sin A / cos A) x cos A=sin A इसलिए सही उत्तर विकल्प B है।

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Question
What is the simplified value of (Cosec^4 A - cot^2 A) - (cot^4 A + cosec^2 A)?
(Cosec^4 A - cot^2 A) - (cot^4 A + cosec^2 A) का सरलीकृत मान क्या है?
A.
B.
C.
D.
Answer
A.(Cosec^4 A - cot^2 A) - (cot^4 A + cosec^2 A) As we know [1 + cot^2A = cosec^2A] [cosec^4A = (1 + cot^2A)^2=1 + cot^4A + 2 cot^2A] =cosec^4A – cot^4A – cot^2A – cosec^2A =1 + cot^4A + 2 cot^2A – cot^4A – cot^2A – cosec^2A = 1 + cot^2A – cosec^2A = cosec^2A - cosec^2A = 0 So the correct answer is option A.
A.(Cosec^4 A - cot^2 A) - (cot^4 A + cosec^2 A) हम जानते है -[1 + cot^2A = cosec^2A] [cosec^4A = (1 + cot^2A)^2=1 + cot^4A + 2 cot^2A] =cosec^4A – cot^4A – cot^2A – cosec^2A =1 + cot^4A + 2 cot^2A – cot^4A – cot^2A – cosec^2A = 1 + cot^2A – cosec^2A = cosec^2A - cosec^2A = 0 इसलिए सही उत्तर विकल्प A है।
Question
What is the value of (tan30° +v3/2) ?
(tan30° + √3 / 2) का मान क्या है?
A.
B.
C.
D.
Answer
B.(tan30° + √3 / 2) (tan30°=1/√3) =1/√3 +√3/2 =2+3/2√3 =5/2√3 So the correct answer is option B.
B.(tan30° + √3 / 2) (tan30°=1/√3) =1/√3 +√3/2 =2+3/2√3 =5/2√3 इसलिए सही उत्तर विकल्प B है।
Question
What is the simplified value of (cos A + sin A)(cot A + tan A)?
(Cos A + sin A) (cot A + tan A) का सरलीकृत मान क्या है?
A.
B.
C.
D.
Answer
A.(Cos A + Sin A) (cot A + tan A) =(Cos A + Sin A)(Cos A/Sin A+ Sin A/CosA) =(Cos A + Sin A)(Cos^2 A+Sin^2 A / Cos A . Sin A) =(Cos A + Sin A)(1/ Cos A . Sin A) =Cos A/Cos A . Sin A + Sin A/Cos A . Sin A =1/Sin A +1/Cos A =Cosec A + Sec A So the correct answer is option A.
A.(Cos A + Sin A) (cot A + tan A) =(Cos A + Sin A)(Cos A/Sin A+ Sin A/CosA) =(Cos A + Sin A)(Cos^2 A+Sin^2 A / Cos A . Sin A) =(Cos A + Sin A)(1/ Cos A . Sin A) =Cos A/Cos A . Sin A + Sin A/Cos A . Sin A =1/Sin A +1/Cos A =Cosec A + Sec A इसलिए सही उत्तर विकल्प A है।