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If \(\sin 17 ^o=\dfrac{x}{y} \), find \(\sec 17^o\sin 73^o\).
If \( \sin(10^o 6′ 32”)=a\), then find \(\cos (79^o 53′ 28 ”)+ \tan (10^o 6′ 32”) \).
In \(\triangle xyz, \quad< y =90^o,\quad xy=2\sqrt{6}, \quad xzyz=2 \), find \( \sec \theta +\tan \theta \) (\(\theta \) is the angle on vertex \('x' \))
In \( \triangle ABC, \quad < B=90^o, \quad ABBC=2, \quad AC=2 \sqrt{5}\), find \(\cos^2 A\cos^2C \).
If \( 2 \sin \alpha +15 \cos ^2 \alpha =7,\quad 0^o < \alpha < 90^o\). Find \(\cot \alpha \).
, satisfy the condition
OR
If \(2\cos^2 \theta=3\sin \theta \cdot \cos \theta \), find \( \tan \theta\).
Put the value from option
(Relation satisfied)
is the correct option.
If \(\sec \theta+\tan \theta=3 \), then \( \cos \theta\) is______
We know,
If \( \csc \theta +\cot \theta =2+ \sqrt{5}\), then find \( \sin \theta\).
If \(\sin \theta+\sin^2 \theta=1 \), then find \(\cos ^{12} \theta+3\cos ^{10} \theta +3\cos^8 \theta+cos^6 \theta+64 \).
Let
(1)
Given
From (1)
If \(\sin \theta+\sin^2 \theta+\sin^3 \theta=1 \), find \( \cos^6 \theta4 \cos^4 \theta+8 \cos^2 \theta\).
Squaring both sides
If \( \cos \theta +\cos^2\theta=1\), find \( \sin^8\theta+2\sin^6\theta+\sin^4\theta\).
(1)
Let
(From (1))
If \(\sin \theta +\cos \theta=\dfrac{17}{13} \), find \( \sin \theta\cos \theta\).
If \( 3 \sin \theta+4\cos \theta=5\), find \( \tan \theta\).
If \( (a^2b^2)\sin \theta+2ab \cos \theta=a^2+b^2\), then find \( \tan \theta\).
If \( x \sin \thetay \cos \theta=\sqrt{x^2+y^2}\) then \(\dfrac{\cos^2 \theta}{a^2}+\dfrac{\sin^2\theta}{b^2}=\dfrac{1}{x^2+y^2} \) then, ________
(i)
(ii)
Comparing (i) and (ii) we get,
If \(10 \sin ^4\theta+15 \cos^4 \theta =6 \), find \( 27 \csc^6 \theta+8\sec ^6\theta\).
Comparing (i) and (ii) we get,
If \( A+B=90 ^o\), find \(\sin^2A+\sin^2B \).
If \( A+B=90^o\), find \( \sin A\cdot \sec B\).
If \( A+B=90^o\), find \( \tan A \cdot \tan B \).
If \(A+B=90^o \), find \(\cos^2 A+\cos^2 B \).
If \(A+B=90^o\), find \( \cos A \cdot \csc B\).
If \(A+B=90^o\), find \(\csc A \cdot \sec B \).
If \( \sin (3x6)=\cos (6x3)\), find \( x \).
\(\sin^210+\sin^2 20+…+\sin^2 90^o \) is equal to______
\( \cos^2 1^o+\cos^2 3^o+…+\cos^2 90^o\) is equal to____