Trigonometry Doubt!

Can anyone please provide a solution to these problems?

(1): If $\dfrac{3 - \tan^2\frac\pi7}{1 -\tan^2\frac\pi7} = \lambda \cos \dfrac\pi7$ , then find $\lambda$ .

(2): If $4\sin27^\circ = \sqrt \alpha + \sqrt\beta$ , then find the value of $(\alpha + \beta - \alpha \beta + 2)^4$ .

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

@Ashish Siva , @Hung Woei Neoh , @Chinmay Sangawadekar , And all others are invited to solve these problems , Thank you.!

Rishabh Tiwari - 4 years, 10 months ago

Requesting help from @Rishabh Cool and @Chew-Seong Cheong. Thanks in advance

Hung Woei Neoh - 4 years, 10 months ago

Please help me solve these problems @Pi Han Goh , @Calvin Lin sir please help , also atleast state if it cannot be solved or it's incorrect ...Thanks in advance .@Hung Woei Neoh thanx buddy.

Rishabh Tiwari - 4 years, 10 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$