Evaluate the following-sin 42 - 48-cos 42 -cosec 48

The correct option is B 2⇒ sin 42^∘ sec 48^∘ + cos 42^∘ cosec 48^∘ = 2 LHS: sin 42^∘ sec 48^∘+cos 42^∘ cosec 48^∘ LHS: sin (90^∘ 48^∘) sec 48^∘ + cos (90^∘ ...

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Standard XII

Mathematics

Trigonometric Ratios of Allied Angles

Evaluate the ...

Question

Evaluate the following:
sin 42. sec 48 + cos 42. cosec 48

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Solution

The correct option is B 2
$\Rightarrow s i n 42^{\circ} s e c 48^{\circ} + c o s 42^{\circ} c o s e c 48^{\circ} = 2$
$L H S : s i n 42^{\circ} s e c 48^{\circ} + c o s 42^{\circ} c o s e c 48^{\circ}$
$L H S : s i n (90^{\circ} - 48^{\circ}) s e c 48^{\circ} + c o s (90^{\circ} - 48^{\circ}) c o s e c 48^{\circ}$
$L H S : c o s 48^{\circ} s e c 48^{\circ} + s i n 48^{\circ} c o s e c 48^{\circ}$
LHS: 1 + 1
LHS: 2

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Evaluate the following: sin 42. sec 48 + cos 42. cosec 48

The correct option is B 2⇒sin 42∘ sec 48∘+cos 42∘ cosec 48∘=2 LHS: sin 42∘ sec 48∘+cos 42∘ cosec 48∘ LHS: sin (90∘−48∘) sec 48∘+cos (90∘−48∘) cosec 48∘ LHS: cos48∘ sec 48∘+sin 48∘ cosec 48∘ LHS: 1 + 1 LHS: 2

Evaluate the following:
sin 42. sec 48 + cos 42. cosec 48