Question
Write the values of the following trigonometric ratios.
$\sin 60^{\circ}=\frac{⬜}{⬜}$
$\sin 60^{\circ}=\frac{⬜}{⬜}$
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| Draw a circle with center O and radius 3 cm |
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If $\sec \theta+\tan \theta=\sqrt{3}$, complete the activity to find the value of $\sec \theta-\tan \theta$
Activity:
$ \square=1+\tan ^2 \theta \quad \ldots . . .[\text { Fundamental trigonometric identity] }$
$\square-\tan ^2 \theta=1$
$(\sec \theta+\tan \theta) \cdot(\sec \theta-\tan \theta)=\square$
$\sqrt{3} \cdot(\sec \theta-\tan \theta)=1$
$(\sec \theta-\tan \theta)=\square $
→Activity:
$ \square=1+\tan ^2 \theta \quad \ldots . . .[\text { Fundamental trigonometric identity] }$
$\square-\tan ^2 \theta=1$
$(\sec \theta+\tan \theta) \cdot(\sec \theta-\tan \theta)=\square$
$\sqrt{3} \cdot(\sec \theta-\tan \theta)=1$
$(\sec \theta-\tan \theta)=\square $
Write the correct number in the given boxes from the following A. P.
1, 8, 15, 22, . . .
Here
a = ⬜, $t _1$ = ⬜, $t _2$ = ⬜, $t _3$ = ⬜
$t _2- t _1$ = ⬜ - ⬜ = ⬜
$t _3- t _2$ = ⬜ - ⬜ = ⬜
∴ d = ⬜
→1, 8, 15, 22, . . .
Here
a = ⬜, $t _1$ = ⬜, $t _2$ = ⬜, $t _3$ = ⬜
$t _2- t _1$ = ⬜ - ⬜ = ⬜
$t _3- t _2$ = ⬜ - ⬜ = ⬜
∴ d = ⬜
Complete the following activity to solve the simultaneous equations
| Draw a circle and take any point P on the circle. Draw ray OP |
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| Draw perpendicular to ray OP from point P |
Observe the figure and complete the following activity
In fig, ∠B = 75°, ∠D = 75°
∠B ≅ [ ______ ] ...[each of 75°]
∠C ≅ ∠C ...[ ______ ]
ΔABC ~ Δ [ ______ ] ...[ ______ similarity test]
Write the values of the following trigonometric ratios.
$\tan 30^{\circ}=\frac{⬜}{⬜}$
→$\tan 30^{\circ}=\frac{⬜}{⬜}$