Find the values of : 60^ 60^ + 60^ - Vidyadip

Question

Find the values of : $\frac{\tan 60^{\circ}}{\sin 60^{\circ}+\cos 60^{\circ}}$

✓

Answer

\frac{\tan 60^{\circ}}{\sin 60^{\circ}+\cos 60^{\circ}} \\ \frac{\tan 60^{\circ}}{\sin 60^{\circ}+\cos 60^{\circ}}=\frac{\sqrt{3}}{\frac{\sqrt{3}}{2}+\frac{1}{2}} \\ =\frac{\sqrt{3}}{\frac{\sqrt{3}+1}{2}} \\ =\sqrt{3} \times \frac{2}{\sqrt{3}+1} \\ \therefore \quad \frac{\tan 60^{\circ}}{\sin 60^{\circ}+\cos 60^{\circ}}=\frac{2 \sqrt{3}}{\sqrt{3}+1} \\\end{array}$

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" from Trigonometry→Trigonometry — all question types→Maths STD 9 question papers→Maharashtra Board STD 9 question papers→Maharashtra Board question paper generator→

Similar questions

Find the ratio of the total surface area and lateral surface area of a cube.

Simplify the following:$\frac{6(8)^{\text{n}+1}+16(2)^{3\text{n}-2}}{10(2)^{3\text{n}+1}-7(8)^\text{n}}$

Factorize the following expressions:
$(3x - 2y)^3 + (2y - 4z)^3+ (4z - 3x)^3$

Simplify:$\big(3-\sqrt{3}\big)^2$

Tan θ =$\frac{1}{2√2}$.Find Sin θ= , Cos θ= ?

Find the value of a for which $(x-4)$ is a factor of $\left(2 x^3-3 x^2-18 x+a\right)$.

Look at several examples of rational numbers in the form $\frac{\text{p}}{\text{q}}(\text{q}\neq0),$ where p and q are integers with no common factors other than 1 and having terminating decimal representations. Can you guess what property q must satisfy?

Classify the decimal form of the given rational numbers into terminating and non-terminating recurring type. : $\frac{2}{11}$

Simplify the following:$\sqrt[3]{4}\times\sqrt[3]{16}$

Find the following products:
$(3 x+2 y)\left(9 x^2-6 x y+4 y^2\right)$