Evaluate the following: (78^ + ) +cosec(42^ + ) - (12^ - ) - (48^… - Vidyadip

Question

Evaluate the following$: \tan(78^\circ + \theta ) +\operatorname{cosec}(42^\circ + \theta ) - \cot(12^\circ - \theta ) - \sec(48^\circ - \theta )$

✓

Answer

$\tan(78^\circ + \theta ) + \operatorname{cosec}(42^\circ + \theta ) - \cot(12^\circ - \theta ) - \sec(48^\circ - \theta )$
$= \tan[90^\circ - (12^\circ - \theta )] + \operatorname{cosec}[90^\circ - (48^\circ - \theta )] - \cot(12^\circ - \theta ) - \sec(48^\circ - \theta )$
$= \cot(12^\circ - \theta ) + \sec(48^\circ - \theta )] - \cot(12^\circ - \theta ) - \sec(48^\circ - \theta )$
$= 0$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[2 Mark Question Answer]" from Trigonometrical Ratios of Standard Angles→Trigonometrical Ratios of Standard Angles — all question types→MATHEMATICS STD 9 question papers→ICSE Board STD 9 question papers→ICSE Board question paper generator→

Similar questions

The weights of 7 boys in a group are 52 kg, 57 kg, 55 kg, 60 kg, 54 kg, 59 kg and 55 kg. Find the mean weight of the group.

Using the standard formulae, expand:
$(a+2 b+3 c)^2$

Using the standard formulae, expand:
$(x+y)(x-y)\left(x^2+y^2\right)$

Find the value of x, when : $\log _{\sqrt{3}}(x-1)=2$

Calculate the measure of each angle of a regular polygon of $20$ sides.

Expand the following$:(a + 3b)^2$

Find the range of the data : 11, 13, 17, 14, 19, 14, 15, 18

In a quadrilateral $\text{PQRS},$ the diagonals $\text{PR}$ and $\text{QS}$ intersect each other at the point $T.$ If $\text{PT}:\text{TR} = \text{QT} :\text{TS} = 1:2,$ show that $\text{TP}:\text{TQ} = \text{TR}:\text{TS}$

Factorise : $x^3-3 x^2+3 x+7$

A rectangular field is 40 m long and 30 m broad. Find the length of its diagonal.